TSTP Solution File: MGT025+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT025+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 21:04:57 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 7
% Syntax : Number of formulae : 172 ( 18 unt; 0 def)
% Number of atoms : 661 ( 68 equ)
% Maximal formula atoms : 40 ( 3 avg)
% Number of connectives : 787 ( 298 ~; 405 |; 72 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 118 ( 4 sgn 62 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] :
( ( X1 = sum(X2,X3)
& constant(X1) )
=> ( ( constant(X2)
& constant(X3) )
| ( increases(X2)
& decreases(X3) )
| ( decreases(X2)
& increases(X3) ) ) ),
file('/tmp/tmpaDECBV/sel_MGT025+1.p_1',mp_abc_sum_increase) ).
fof(2,axiom,
! [X4,X5] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X5) )
=> ( greater(cardinality_at_time(first_movers,X5),zero)
& greater(cardinality_at_time(efficient_producers,X5),zero) ) ),
file('/tmp/tmpaDECBV/sel_MGT025+1.p_1',mp_non_zero_producers) ).
fof(3,axiom,
! [X6,X4,X5] :
( ( environment(X4)
& in_environment(X4,X5)
& subpopulation(X6,X4,X5)
& greater(cardinality_at_time(X6,X5),zero) )
=> ( ( constant(cardinality_at_time(X6,X5))
=> growth_rate(X6,X5) = zero )
& ( increases(cardinality_at_time(X6,X5))
=> greater(growth_rate(X6,X5),zero) )
& ( decreases(cardinality_at_time(X6,X5))
=> greater(zero,growth_rate(X6,X5)) ) ) ),
file('/tmp/tmpaDECBV/sel_MGT025+1.p_1',mp_growth_rate) ).
fof(4,axiom,
! [X4,X6,X5] :
( ( environment(X4)
& subpopulation(X6,X4,X5)
& ( greater(cardinality_at_time(X6,X5),zero)
=> ( X6 = efficient_producers
| X6 = first_movers ) ) )
=> number_of_organizations(X4,X5) = sum(cardinality_at_time(first_movers,X5),cardinality_at_time(efficient_producers,X5)) ),
file('/tmp/tmpaDECBV/sel_MGT025+1.p_1',mp_only_members) ).
fof(5,axiom,
! [X4,X5] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X5) )
=> in_environment(X4,X5) ),
file('/tmp/tmpaDECBV/sel_MGT025+1.p_1',mp_time_point_occur) ).
fof(7,axiom,
! [X4,X5] :
( ( environment(X4)
& in_environment(X4,X5) )
=> ( subpopulation(first_movers,X4,X5)
& subpopulation(efficient_producers,X4,X5) ) ),
file('/tmp/tmpaDECBV/sel_MGT025+1.p_1',mp_subpopulations) ).
fof(8,conjecture,
! [X4,X5] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X5)
& constant(number_of_organizations(X4,X5)) )
=> ( ( growth_rate(first_movers,X5) = zero
& growth_rate(efficient_producers,X5) = zero )
| ( greater(growth_rate(first_movers,X5),zero)
& greater(zero,growth_rate(efficient_producers,X5)) )
| ( greater(growth_rate(efficient_producers,X5),zero)
& greater(zero,growth_rate(first_movers,X5)) ) ) ),
file('/tmp/tmpaDECBV/sel_MGT025+1.p_1',prove_l7) ).
fof(9,negated_conjecture,
~ ! [X4,X5] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X5)
& constant(number_of_organizations(X4,X5)) )
=> ( ( growth_rate(first_movers,X5) = zero
& growth_rate(efficient_producers,X5) = zero )
| ( greater(growth_rate(first_movers,X5),zero)
& greater(zero,growth_rate(efficient_producers,X5)) )
| ( greater(growth_rate(efficient_producers,X5),zero)
& greater(zero,growth_rate(first_movers,X5)) ) ) ),
inference(assume_negation,[status(cth)],[8]) ).
fof(10,plain,
! [X1,X2,X3] :
( X1 != sum(X2,X3)
| ~ constant(X1)
| ( constant(X2)
& constant(X3) )
| ( increases(X2)
& decreases(X3) )
| ( decreases(X2)
& increases(X3) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(11,plain,
! [X4,X5,X6] :
( X4 != sum(X5,X6)
| ~ constant(X4)
| ( constant(X5)
& constant(X6) )
| ( increases(X5)
& decreases(X6) )
| ( decreases(X5)
& increases(X6) ) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X4,X5,X6] :
( ( decreases(X5)
| increases(X5)
| constant(X5)
| X4 != sum(X5,X6)
| ~ constant(X4) )
& ( increases(X6)
| increases(X5)
| constant(X5)
| X4 != sum(X5,X6)
| ~ constant(X4) )
& ( decreases(X5)
| decreases(X6)
| constant(X5)
| X4 != sum(X5,X6)
| ~ constant(X4) )
& ( increases(X6)
| decreases(X6)
| constant(X5)
| X4 != sum(X5,X6)
| ~ constant(X4) )
& ( decreases(X5)
| increases(X5)
| constant(X6)
| X4 != sum(X5,X6)
| ~ constant(X4) )
& ( increases(X6)
| increases(X5)
| constant(X6)
| X4 != sum(X5,X6)
| ~ constant(X4) )
& ( decreases(X5)
| decreases(X6)
| constant(X6)
| X4 != sum(X5,X6)
| ~ constant(X4) )
& ( increases(X6)
| decreases(X6)
| constant(X6)
| X4 != sum(X5,X6)
| ~ constant(X4) ) ),
inference(distribute,[status(thm)],[11]) ).
cnf(13,plain,
( constant(X3)
| decreases(X3)
| increases(X3)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(14,plain,
( constant(X3)
| decreases(X3)
| decreases(X2)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(15,plain,
( constant(X3)
| increases(X2)
| increases(X3)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(16,plain,
( constant(X3)
| increases(X2)
| decreases(X2)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(17,plain,
( constant(X2)
| decreases(X3)
| increases(X3)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(20,plain,
( constant(X2)
| increases(X2)
| decreases(X2)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[12]) ).
fof(21,plain,
! [X4,X5] :
( ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X5)
| ( greater(cardinality_at_time(first_movers,X5),zero)
& greater(cardinality_at_time(efficient_producers,X5),zero) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(22,plain,
! [X6,X7] :
( ~ environment(X6)
| ~ subpopulations(first_movers,efficient_producers,X6,X7)
| ( greater(cardinality_at_time(first_movers,X7),zero)
& greater(cardinality_at_time(efficient_producers,X7),zero) ) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(23,plain,
! [X6,X7] :
( ( greater(cardinality_at_time(first_movers,X7),zero)
| ~ environment(X6)
| ~ subpopulations(first_movers,efficient_producers,X6,X7) )
& ( greater(cardinality_at_time(efficient_producers,X7),zero)
| ~ environment(X6)
| ~ subpopulations(first_movers,efficient_producers,X6,X7) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(24,plain,
( greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(25,plain,
( greater(cardinality_at_time(first_movers,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(26,plain,
! [X6,X4,X5] :
( ~ environment(X4)
| ~ in_environment(X4,X5)
| ~ subpopulation(X6,X4,X5)
| ~ greater(cardinality_at_time(X6,X5),zero)
| ( ( ~ constant(cardinality_at_time(X6,X5))
| growth_rate(X6,X5) = zero )
& ( ~ increases(cardinality_at_time(X6,X5))
| greater(growth_rate(X6,X5),zero) )
& ( ~ decreases(cardinality_at_time(X6,X5))
| greater(zero,growth_rate(X6,X5)) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(27,plain,
! [X7,X8,X9] :
( ~ environment(X8)
| ~ in_environment(X8,X9)
| ~ subpopulation(X7,X8,X9)
| ~ greater(cardinality_at_time(X7,X9),zero)
| ( ( ~ constant(cardinality_at_time(X7,X9))
| growth_rate(X7,X9) = zero )
& ( ~ increases(cardinality_at_time(X7,X9))
| greater(growth_rate(X7,X9),zero) )
& ( ~ decreases(cardinality_at_time(X7,X9))
| greater(zero,growth_rate(X7,X9)) ) ) ),
inference(variable_rename,[status(thm)],[26]) ).
fof(28,plain,
! [X7,X8,X9] :
( ( ~ constant(cardinality_at_time(X7,X9))
| growth_rate(X7,X9) = zero
| ~ environment(X8)
| ~ in_environment(X8,X9)
| ~ subpopulation(X7,X8,X9)
| ~ greater(cardinality_at_time(X7,X9),zero) )
& ( ~ increases(cardinality_at_time(X7,X9))
| greater(growth_rate(X7,X9),zero)
| ~ environment(X8)
| ~ in_environment(X8,X9)
| ~ subpopulation(X7,X8,X9)
| ~ greater(cardinality_at_time(X7,X9),zero) )
& ( ~ decreases(cardinality_at_time(X7,X9))
| greater(zero,growth_rate(X7,X9))
| ~ environment(X8)
| ~ in_environment(X8,X9)
| ~ subpopulation(X7,X8,X9)
| ~ greater(cardinality_at_time(X7,X9),zero) ) ),
inference(distribute,[status(thm)],[27]) ).
cnf(29,plain,
( greater(zero,growth_rate(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ decreases(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(30,plain,
( greater(growth_rate(X1,X2),zero)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ increases(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(31,plain,
( growth_rate(X1,X2) = zero
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ constant(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(32,plain,
! [X4,X6,X5] :
( ~ environment(X4)
| ~ subpopulation(X6,X4,X5)
| ( greater(cardinality_at_time(X6,X5),zero)
& X6 != efficient_producers
& X6 != first_movers )
| number_of_organizations(X4,X5) = sum(cardinality_at_time(first_movers,X5),cardinality_at_time(efficient_producers,X5)) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(33,plain,
! [X7,X8,X9] :
( ~ environment(X7)
| ~ subpopulation(X8,X7,X9)
| ( greater(cardinality_at_time(X8,X9),zero)
& X8 != efficient_producers
& X8 != first_movers )
| number_of_organizations(X7,X9) = sum(cardinality_at_time(first_movers,X9),cardinality_at_time(efficient_producers,X9)) ),
inference(variable_rename,[status(thm)],[32]) ).
fof(34,plain,
! [X7,X8,X9] :
( ( greater(cardinality_at_time(X8,X9),zero)
| ~ environment(X7)
| ~ subpopulation(X8,X7,X9)
| number_of_organizations(X7,X9) = sum(cardinality_at_time(first_movers,X9),cardinality_at_time(efficient_producers,X9)) )
& ( X8 != efficient_producers
| ~ environment(X7)
| ~ subpopulation(X8,X7,X9)
| number_of_organizations(X7,X9) = sum(cardinality_at_time(first_movers,X9),cardinality_at_time(efficient_producers,X9)) )
& ( X8 != first_movers
| ~ environment(X7)
| ~ subpopulation(X8,X7,X9)
| number_of_organizations(X7,X9) = sum(cardinality_at_time(first_movers,X9),cardinality_at_time(efficient_producers,X9)) ) ),
inference(distribute,[status(thm)],[33]) ).
cnf(35,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ subpopulation(X3,X1,X2)
| ~ environment(X1)
| X3 != first_movers ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(38,plain,
! [X4,X5] :
( ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X5)
| in_environment(X4,X5) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(39,plain,
! [X6,X7] :
( ~ environment(X6)
| ~ subpopulations(first_movers,efficient_producers,X6,X7)
| in_environment(X6,X7) ),
inference(variable_rename,[status(thm)],[38]) ).
cnf(40,plain,
( in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(44,plain,
! [X4,X5] :
( ~ environment(X4)
| ~ in_environment(X4,X5)
| ( subpopulation(first_movers,X4,X5)
& subpopulation(efficient_producers,X4,X5) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(45,plain,
! [X6,X7] :
( ~ environment(X6)
| ~ in_environment(X6,X7)
| ( subpopulation(first_movers,X6,X7)
& subpopulation(efficient_producers,X6,X7) ) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(46,plain,
! [X6,X7] :
( ( subpopulation(first_movers,X6,X7)
| ~ environment(X6)
| ~ in_environment(X6,X7) )
& ( subpopulation(efficient_producers,X6,X7)
| ~ environment(X6)
| ~ in_environment(X6,X7) ) ),
inference(distribute,[status(thm)],[45]) ).
cnf(47,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[46]) ).
cnf(48,plain,
( subpopulation(first_movers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(49,negated_conjecture,
? [X4,X5] :
( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X5)
& constant(number_of_organizations(X4,X5))
& ( growth_rate(first_movers,X5) != zero
| growth_rate(efficient_producers,X5) != zero )
& ( ~ greater(growth_rate(first_movers,X5),zero)
| ~ greater(zero,growth_rate(efficient_producers,X5)) )
& ( ~ greater(growth_rate(efficient_producers,X5),zero)
| ~ greater(zero,growth_rate(first_movers,X5)) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(50,negated_conjecture,
? [X6,X7] :
( environment(X6)
& subpopulations(first_movers,efficient_producers,X6,X7)
& constant(number_of_organizations(X6,X7))
& ( growth_rate(first_movers,X7) != zero
| growth_rate(efficient_producers,X7) != zero )
& ( ~ greater(growth_rate(first_movers,X7),zero)
| ~ greater(zero,growth_rate(efficient_producers,X7)) )
& ( ~ greater(growth_rate(efficient_producers,X7),zero)
| ~ greater(zero,growth_rate(first_movers,X7)) ) ),
inference(variable_rename,[status(thm)],[49]) ).
fof(51,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& constant(number_of_organizations(esk1_0,esk2_0))
& ( growth_rate(first_movers,esk2_0) != zero
| growth_rate(efficient_producers,esk2_0) != zero )
& ( ~ greater(growth_rate(first_movers,esk2_0),zero)
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) )
& ( ~ greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ) ),
inference(skolemize,[status(esa)],[50]) ).
cnf(52,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(54,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) != zero
| growth_rate(first_movers,esk2_0) != zero ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(55,negated_conjecture,
constant(number_of_organizations(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(56,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(57,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(58,negated_conjecture,
( in_environment(esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[40,56,theory(equality)]) ).
cnf(59,negated_conjecture,
( in_environment(esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[58,57,theory(equality)]) ).
cnf(60,negated_conjecture,
in_environment(esk1_0,esk2_0),
inference(cn,[status(thm)],[59,theory(equality)]) ).
cnf(61,negated_conjecture,
( greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[25,56,theory(equality)]) ).
cnf(62,negated_conjecture,
( greater(cardinality_at_time(first_movers,esk2_0),zero)
| $false ),
inference(rw,[status(thm)],[61,57,theory(equality)]) ).
cnf(63,negated_conjecture,
greater(cardinality_at_time(first_movers,esk2_0),zero),
inference(cn,[status(thm)],[62,theory(equality)]) ).
cnf(64,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[24,56,theory(equality)]) ).
cnf(65,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| $false ),
inference(rw,[status(thm)],[64,57,theory(equality)]) ).
cnf(66,negated_conjecture,
greater(cardinality_at_time(efficient_producers,esk2_0),zero),
inference(cn,[status(thm)],[65,theory(equality)]) ).
cnf(67,plain,
( increases(X1)
| increases(X2)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[15,theory(equality)]) ).
cnf(68,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[13,theory(equality)]) ).
cnf(69,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[16,theory(equality)]) ).
cnf(70,plain,
( decreases(X1)
| decreases(X2)
| constant(X2)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[14,theory(equality)]) ).
cnf(72,plain,
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[17,theory(equality)]) ).
cnf(73,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X1,X2)) ),
inference(er,[status(thm)],[20,theory(equality)]) ).
cnf(75,negated_conjecture,
( subpopulation(first_movers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[48,60,theory(equality)]) ).
cnf(76,negated_conjecture,
( subpopulation(efficient_producers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[47,60,theory(equality)]) ).
cnf(77,negated_conjecture,
( subpopulation(first_movers,esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[75,57,theory(equality)]) ).
cnf(78,negated_conjecture,
subpopulation(first_movers,esk1_0,esk2_0),
inference(cn,[status(thm)],[77,theory(equality)]) ).
cnf(79,negated_conjecture,
( subpopulation(efficient_producers,esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[76,57,theory(equality)]) ).
cnf(80,negated_conjecture,
subpopulation(efficient_producers,esk1_0,esk2_0),
inference(cn,[status(thm)],[79,theory(equality)]) ).
cnf(81,negated_conjecture,
( sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0)) = number_of_organizations(esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[35,78,theory(equality)]) ).
cnf(83,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| ~ in_environment(esk1_0,esk2_0)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[31,78,theory(equality)]) ).
cnf(85,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| ~ in_environment(esk1_0,esk2_0)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[29,78,theory(equality)]) ).
cnf(86,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| ~ in_environment(esk1_0,esk2_0)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[30,78,theory(equality)]) ).
cnf(87,negated_conjecture,
( sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0)) = number_of_organizations(esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[81,57,theory(equality)]) ).
cnf(88,negated_conjecture,
sum(cardinality_at_time(first_movers,esk2_0),cardinality_at_time(efficient_producers,esk2_0)) = number_of_organizations(esk1_0,esk2_0),
inference(cn,[status(thm)],[87,theory(equality)]) ).
cnf(91,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| $false
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[83,60,theory(equality)]) ).
cnf(92,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| $false
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| $false
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[91,57,theory(equality)]) ).
cnf(93,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[92,theory(equality)]) ).
cnf(96,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| $false
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[85,60,theory(equality)]) ).
cnf(97,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| $false
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| $false
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[96,57,theory(equality)]) ).
cnf(98,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[97,theory(equality)]) ).
cnf(99,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| $false
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[86,60,theory(equality)]) ).
cnf(100,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| $false
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| $false
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[99,57,theory(equality)]) ).
cnf(101,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[100,theory(equality)]) ).
cnf(104,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| ~ in_environment(esk1_0,esk2_0)
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[31,80,theory(equality)]) ).
cnf(106,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ in_environment(esk1_0,esk2_0)
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[29,80,theory(equality)]) ).
cnf(107,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ in_environment(esk1_0,esk2_0)
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[30,80,theory(equality)]) ).
cnf(112,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| $false
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[104,60,theory(equality)]) ).
cnf(113,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| $false
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| $false
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[112,57,theory(equality)]) ).
cnf(114,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[113,theory(equality)]) ).
cnf(117,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| $false
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[106,60,theory(equality)]) ).
cnf(118,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| $false
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| $false
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[117,57,theory(equality)]) ).
cnf(119,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[118,theory(equality)]) ).
cnf(120,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[107,60,theory(equality)]) ).
cnf(121,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| $false
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[120,57,theory(equality)]) ).
cnf(122,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[121,theory(equality)]) ).
cnf(132,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| $false
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[93,63,theory(equality)]) ).
cnf(133,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[132,theory(equality)]) ).
cnf(135,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(number_of_organizations(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[67,88,theory(equality)]) ).
cnf(136,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| $false ),
inference(rw,[status(thm)],[135,55,theory(equality)]) ).
cnf(137,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[136,theory(equality)]) ).
cnf(138,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(number_of_organizations(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[68,88,theory(equality)]) ).
cnf(139,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| $false ),
inference(rw,[status(thm)],[138,55,theory(equality)]) ).
cnf(140,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[139,theory(equality)]) ).
cnf(141,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(number_of_organizations(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[69,88,theory(equality)]) ).
cnf(142,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| $false ),
inference(rw,[status(thm)],[141,55,theory(equality)]) ).
cnf(143,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[142,theory(equality)]) ).
cnf(144,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(number_of_organizations(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[70,88,theory(equality)]) ).
cnf(145,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| $false ),
inference(rw,[status(thm)],[144,55,theory(equality)]) ).
cnf(146,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[145,theory(equality)]) ).
cnf(150,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| $false
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[114,66,theory(equality)]) ).
cnf(151,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[150,theory(equality)]) ).
cnf(152,negated_conjecture,
( growth_rate(first_movers,esk2_0) != zero
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[54,151,theory(equality)]) ).
cnf(153,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(zero,zero)
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[52,151,theory(equality)]) ).
cnf(155,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| $false
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[98,63,theory(equality)]) ).
cnf(156,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk2_0))
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[155,theory(equality)]) ).
cnf(158,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[152,133,theory(equality)]) ).
cnf(159,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0))
| ~ constant(number_of_organizations(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[72,88,theory(equality)]) ).
cnf(160,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0))
| $false ),
inference(rw,[status(thm)],[159,55,theory(equality)]) ).
cnf(161,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[160,theory(equality)]) ).
cnf(164,negated_conjecture,
( ~ greater(zero,zero)
| ~ constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[153,156,theory(equality)]) ).
cnf(166,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| $false
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[101,63,theory(equality)]) ).
cnf(167,negated_conjecture,
( greater(growth_rate(first_movers,esk2_0),zero)
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[166,theory(equality)]) ).
cnf(168,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[53,167,theory(equality)]) ).
cnf(169,negated_conjecture,
( greater(zero,zero)
| ~ increases(cardinality_at_time(first_movers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[167,133,theory(equality)]) ).
cnf(170,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| $false
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[119,66,theory(equality)]) ).
cnf(171,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[170,theory(equality)]) ).
cnf(173,negated_conjecture,
( greater(zero,zero)
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[171,151,theory(equality)]) ).
cnf(175,negated_conjecture,
( ~ increases(cardinality_at_time(first_movers,esk2_0))
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[168,171,theory(equality)]) ).
cnf(176,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0))
| ~ constant(number_of_organizations(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[73,88,theory(equality)]) ).
cnf(177,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0))
| $false ),
inference(rw,[status(thm)],[176,55,theory(equality)]) ).
cnf(178,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[177,theory(equality)]) ).
cnf(179,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(rw,[status(thm)],[122,66,theory(equality)]) ).
cnf(180,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[179,theory(equality)]) ).
cnf(181,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[52,180,theory(equality)]) ).
cnf(182,negated_conjecture,
( greater(zero,zero)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[180,151,theory(equality)]) ).
cnf(183,negated_conjecture,
( ~ greater(zero,zero)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[181,133,theory(equality)]) ).
cnf(184,negated_conjecture,
( ~ increases(cardinality_at_time(efficient_producers,esk2_0))
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[181,156,theory(equality)]) ).
cnf(197,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[175,140,theory(equality)]) ).
cnf(202,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[197,137]) ).
cnf(204,negated_conjecture,
( constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ greater(zero,zero)
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[183,202,theory(equality)]) ).
cnf(205,negated_conjecture,
( ~ greater(zero,zero)
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[204,158]) ).
cnf(208,negated_conjecture,
( increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[184,143,theory(equality)]) ).
cnf(209,negated_conjecture,
( increases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[208,202]) ).
cnf(210,negated_conjecture,
( greater(zero,zero)
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[169,209,theory(equality)]) ).
cnf(212,negated_conjecture,
( greater(zero,zero)
| ~ constant(cardinality_at_time(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[210,158]) ).
cnf(213,negated_conjecture,
~ constant(cardinality_at_time(first_movers,esk2_0)),
inference(csr,[status(thm)],[212,205]) ).
cnf(214,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[175,146,theory(equality)]) ).
cnf(223,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| constant(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[214,209]) ).
cnf(226,negated_conjecture,
( constant(cardinality_at_time(efficient_producers,esk2_0))
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[184,223,theory(equality)]) ).
cnf(229,negated_conjecture,
constant(cardinality_at_time(efficient_producers,esk2_0)),
inference(csr,[status(thm)],[226,202]) ).
cnf(233,negated_conjecture,
( greater(zero,zero)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0))
| $false ),
inference(rw,[status(thm)],[182,229,theory(equality)]) ).
cnf(234,negated_conjecture,
( greater(zero,zero)
| ~ increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[233,theory(equality)]) ).
cnf(235,negated_conjecture,
( greater(zero,zero)
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0))
| $false ),
inference(rw,[status(thm)],[173,229,theory(equality)]) ).
cnf(236,negated_conjecture,
( greater(zero,zero)
| ~ decreases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[235,theory(equality)]) ).
cnf(239,negated_conjecture,
( ~ greater(zero,zero)
| ~ decreases(cardinality_at_time(first_movers,esk2_0))
| $false ),
inference(rw,[status(thm)],[164,229,theory(equality)]) ).
cnf(240,negated_conjecture,
( ~ greater(zero,zero)
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[239,theory(equality)]) ).
cnf(247,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| $false ),
inference(rw,[status(thm)],[151,229,theory(equality)]) ).
cnf(248,negated_conjecture,
growth_rate(efficient_producers,esk2_0) = zero,
inference(cn,[status(thm)],[247,theory(equality)]) ).
cnf(250,negated_conjecture,
( ~ greater(zero,zero)
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[168,248,theory(equality)]) ).
cnf(260,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk2_0))
| increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(sr,[status(thm)],[161,213,theory(equality)]) ).
cnf(262,negated_conjecture,
( greater(zero,zero)
| increases(cardinality_at_time(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[236,260,theory(equality)]) ).
cnf(264,negated_conjecture,
greater(zero,zero),
inference(csr,[status(thm)],[262,234]) ).
cnf(265,negated_conjecture,
( $false
| ~ decreases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[240,264,theory(equality)]) ).
cnf(266,negated_conjecture,
~ decreases(cardinality_at_time(first_movers,esk2_0)),
inference(cn,[status(thm)],[265,theory(equality)]) ).
cnf(289,negated_conjecture,
( decreases(cardinality_at_time(first_movers,esk2_0))
| increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(sr,[status(thm)],[178,213,theory(equality)]) ).
cnf(292,negated_conjecture,
increases(cardinality_at_time(first_movers,esk2_0)),
inference(sr,[status(thm)],[289,266,theory(equality)]) ).
cnf(294,negated_conjecture,
( $false
| ~ increases(cardinality_at_time(first_movers,esk2_0)) ),
inference(rw,[status(thm)],[250,264,theory(equality)]) ).
cnf(295,negated_conjecture,
~ increases(cardinality_at_time(first_movers,esk2_0)),
inference(cn,[status(thm)],[294,theory(equality)]) ).
cnf(296,negated_conjecture,
$false,
inference(sr,[status(thm)],[292,295,theory(equality)]) ).
cnf(297,negated_conjecture,
$false,
296,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT025+1.p
% --creating new selector for []
% -running prover on /tmp/tmpaDECBV/sel_MGT025+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT025+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT025+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT025+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
%
%------------------------------------------------------------------------------