TSTP Solution File: MGT024+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT024+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 21:04:52 EST 2010
% Result : Theorem 0.30s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 122 ( 11 unt; 0 def)
% Number of atoms : 614 ( 97 equ)
% Maximal formula atoms : 48 ( 5 avg)
% Number of connectives : 736 ( 244 ~; 410 |; 63 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 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 : 124 ( 0 sgn 52 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,equilibrium(X1)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
file('/tmp/tmp84TcvH/sel_MGT024+1.p_1',prove_l6) ).
fof(2,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& constant(number_of_organizations(X1,X2)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
file('/tmp/tmp84TcvH/sel_MGT024+1.p_1',l7) ).
fof(3,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(number_of_organizations(X1,X2),zero) )
=> ( ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) )
& ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) ) ) ),
file('/tmp/tmp84TcvH/sel_MGT024+1.p_1',a3) ).
fof(4,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> in_environment(X1,X2) ),
file('/tmp/tmp84TcvH/sel_MGT024+1.p_1',mp_time_point_occur) ).
fof(5,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> ~ decreases(number_of_organizations(X1,X2)) )
& ( constant(resources(X1,X2))
=> constant(number_of_organizations(X1,X2)) ) ) ),
file('/tmp/tmp84TcvH/sel_MGT024+1.p_1',a6) ).
fof(6,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> greater(number_of_organizations(X1,X2),zero) ),
file('/tmp/tmp84TcvH/sel_MGT024+1.p_1',mp_positive_number_of_organizations) ).
fof(7,axiom,
! [X1,X2] :
( ( environment(X1)
& greater_or_equal(X2,equilibrium(X1)) )
=> ~ greater(equilibrium(X1),X2) ),
file('/tmp/tmp84TcvH/sel_MGT024+1.p_1',mp_equilibrium) ).
fof(8,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,equilibrium(X1)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(9,plain,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(number_of_organizations(X1,X2),zero) )
=> ( ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) )
& ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(10,plain,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> ~ decreases(number_of_organizations(X1,X2)) )
& ( constant(resources(X1,X2))
=> constant(number_of_organizations(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(11,plain,
! [X1,X2] :
( ( environment(X1)
& greater_or_equal(X2,equilibrium(X1)) )
=> ~ greater(equilibrium(X1),X2) ),
inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).
fof(12,negated_conjecture,
? [X1,X2] :
( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,equilibrium(X1))
& ( growth_rate(first_movers,X2) != zero
| growth_rate(efficient_producers,X2) != zero )
& ( ~ greater(growth_rate(first_movers,X2),zero)
| ~ greater(zero,growth_rate(efficient_producers,X2)) )
& ( ~ greater(growth_rate(efficient_producers,X2),zero)
| ~ greater(zero,growth_rate(first_movers,X2)) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(13,negated_conjecture,
? [X3,X4] :
( environment(X3)
& subpopulations(first_movers,efficient_producers,X3,X4)
& greater_or_equal(X4,equilibrium(X3))
& ( growth_rate(first_movers,X4) != zero
| growth_rate(efficient_producers,X4) != zero )
& ( ~ greater(growth_rate(first_movers,X4),zero)
| ~ greater(zero,growth_rate(efficient_producers,X4)) )
& ( ~ greater(growth_rate(efficient_producers,X4),zero)
| ~ greater(zero,growth_rate(first_movers,X4)) ) ),
inference(variable_rename,[status(thm)],[12]) ).
fof(14,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& greater_or_equal(esk2_0,equilibrium(esk1_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)],[13]) ).
cnf(15,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(growth_rate(efficient_producers,esk2_0),zero) ),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(16,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(growth_rate(first_movers,esk2_0),zero) ),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(17,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) != zero
| growth_rate(first_movers,esk2_0) != zero ),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(18,negated_conjecture,
greater_or_equal(esk2_0,equilibrium(esk1_0)),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(19,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(20,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[14]) ).
fof(21,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ constant(number_of_organizations(X1,X2))
| ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(22,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4))
| ( growth_rate(first_movers,X4) = zero
& growth_rate(efficient_producers,X4) = zero )
| ( greater(growth_rate(first_movers,X4),zero)
& greater(zero,growth_rate(efficient_producers,X4)) )
| ( greater(growth_rate(efficient_producers,X4),zero)
& greater(zero,growth_rate(first_movers,X4)) ) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(23,plain,
! [X3,X4] :
( ( greater(growth_rate(efficient_producers,X4),zero)
| greater(growth_rate(first_movers,X4),zero)
| growth_rate(first_movers,X4) = zero
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4)) )
& ( greater(zero,growth_rate(first_movers,X4))
| greater(growth_rate(first_movers,X4),zero)
| growth_rate(first_movers,X4) = zero
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4)) )
& ( greater(growth_rate(efficient_producers,X4),zero)
| greater(zero,growth_rate(efficient_producers,X4))
| growth_rate(first_movers,X4) = zero
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4)) )
& ( greater(zero,growth_rate(first_movers,X4))
| greater(zero,growth_rate(efficient_producers,X4))
| growth_rate(first_movers,X4) = zero
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4)) )
& ( greater(growth_rate(efficient_producers,X4),zero)
| greater(growth_rate(first_movers,X4),zero)
| growth_rate(efficient_producers,X4) = zero
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4)) )
& ( greater(zero,growth_rate(first_movers,X4))
| greater(growth_rate(first_movers,X4),zero)
| growth_rate(efficient_producers,X4) = zero
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4)) )
& ( greater(growth_rate(efficient_producers,X4),zero)
| greater(zero,growth_rate(efficient_producers,X4))
| growth_rate(efficient_producers,X4) = zero
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4)) )
& ( greater(zero,growth_rate(first_movers,X4))
| greater(zero,growth_rate(efficient_producers,X4))
| growth_rate(efficient_producers,X4) = zero
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ constant(number_of_organizations(X3,X4)) ) ),
inference(distribute,[status(thm)],[22]) ).
cnf(24,plain,
( growth_rate(efficient_producers,X2) = zero
| greater(zero,growth_rate(efficient_producers,X2))
| greater(zero,growth_rate(first_movers,X2))
| ~ constant(number_of_organizations(X1,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(25,plain,
( growth_rate(efficient_producers,X2) = zero
| greater(zero,growth_rate(efficient_producers,X2))
| greater(growth_rate(efficient_producers,X2),zero)
| ~ constant(number_of_organizations(X1,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(26,plain,
( growth_rate(efficient_producers,X2) = zero
| greater(growth_rate(first_movers,X2),zero)
| greater(zero,growth_rate(first_movers,X2))
| ~ constant(number_of_organizations(X1,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(28,plain,
( growth_rate(first_movers,X2) = zero
| greater(zero,growth_rate(efficient_producers,X2))
| greater(zero,growth_rate(first_movers,X2))
| ~ constant(number_of_organizations(X1,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(29,plain,
( growth_rate(first_movers,X2) = zero
| greater(zero,growth_rate(efficient_producers,X2))
| greater(growth_rate(efficient_producers,X2),zero)
| ~ constant(number_of_organizations(X1,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(30,plain,
( growth_rate(first_movers,X2) = zero
| greater(growth_rate(first_movers,X2),zero)
| greater(zero,growth_rate(first_movers,X2))
| ~ constant(number_of_organizations(X1,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(31,plain,
( growth_rate(first_movers,X2) = zero
| greater(growth_rate(first_movers,X2),zero)
| greater(growth_rate(efficient_producers,X2),zero)
| ~ constant(number_of_organizations(X1,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[23]) ).
fof(32,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ( ( ~ greater(equilibrium(X1),X2)
| decreases(resources(X1,X2)) )
& ( greater(equilibrium(X1),X2)
| constant(resources(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(33,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater(number_of_organizations(X3,X4),zero)
| ( ( ~ greater(equilibrium(X3),X4)
| decreases(resources(X3,X4)) )
& ( greater(equilibrium(X3),X4)
| constant(resources(X3,X4)) ) ) ),
inference(variable_rename,[status(thm)],[32]) ).
fof(34,plain,
! [X3,X4] :
( ( ~ greater(equilibrium(X3),X4)
| decreases(resources(X3,X4))
| ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater(number_of_organizations(X3,X4),zero) )
& ( greater(equilibrium(X3),X4)
| constant(resources(X3,X4))
| ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater(number_of_organizations(X3,X4),zero) ) ),
inference(distribute,[status(thm)],[33]) ).
cnf(35,plain,
( constant(resources(X1,X2))
| greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(37,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| in_environment(X1,X2) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(38,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| in_environment(X3,X4) ),
inference(variable_rename,[status(thm)],[37]) ).
cnf(39,plain,
( in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(40,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ( ( ~ decreases(resources(X1,X2))
| ~ decreases(number_of_organizations(X1,X2)) )
& ( ~ constant(resources(X1,X2))
| constant(number_of_organizations(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(41,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| ( ( ~ decreases(resources(X3,X4))
| ~ decreases(number_of_organizations(X3,X4)) )
& ( ~ constant(resources(X3,X4))
| constant(number_of_organizations(X3,X4)) ) ) ),
inference(variable_rename,[status(thm)],[40]) ).
fof(42,plain,
! [X3,X4] :
( ( ~ decreases(resources(X3,X4))
| ~ decreases(number_of_organizations(X3,X4))
| ~ environment(X3)
| ~ in_environment(X3,X4) )
& ( ~ constant(resources(X3,X4))
| constant(number_of_organizations(X3,X4))
| ~ environment(X3)
| ~ in_environment(X3,X4) ) ),
inference(distribute,[status(thm)],[41]) ).
cnf(43,plain,
( constant(number_of_organizations(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ constant(resources(X1,X2)) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(45,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| greater(number_of_organizations(X1,X2),zero) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(46,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| greater(number_of_organizations(X3,X4),zero) ),
inference(variable_rename,[status(thm)],[45]) ).
cnf(47,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ greater_or_equal(X2,equilibrium(X1))
| ~ greater(equilibrium(X1),X2) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(49,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ greater_or_equal(X4,equilibrium(X3))
| ~ greater(equilibrium(X3),X4) ),
inference(variable_rename,[status(thm)],[48]) ).
cnf(50,plain,
( ~ greater(equilibrium(X1),X2)
| ~ greater_or_equal(X2,equilibrium(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(51,negated_conjecture,
( ~ greater(equilibrium(esk1_0),esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[50,18,theory(equality)]) ).
cnf(52,negated_conjecture,
( ~ greater(equilibrium(esk1_0),esk2_0)
| $false ),
inference(rw,[status(thm)],[51,20,theory(equality)]) ).
cnf(53,negated_conjecture,
~ greater(equilibrium(esk1_0),esk2_0),
inference(cn,[status(thm)],[52,theory(equality)]) ).
cnf(54,plain,
( constant(number_of_organizations(X1,X2))
| greater(equilibrium(X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,X2),zero) ),
inference(spm,[status(thm)],[43,35,theory(equality)]) ).
cnf(56,plain,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(number_of_organizations(X2,X1),zero) ),
inference(spm,[status(thm)],[28,54,theory(equality)]) ).
cnf(57,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(number_of_organizations(X2,X1),zero) ),
inference(spm,[status(thm)],[24,54,theory(equality)]) ).
cnf(58,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(number_of_organizations(X2,X1),zero) ),
inference(spm,[status(thm)],[30,54,theory(equality)]) ).
cnf(59,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(number_of_organizations(X2,X1),zero) ),
inference(spm,[status(thm)],[29,54,theory(equality)]) ).
cnf(60,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(number_of_organizations(X2,X1),zero) ),
inference(spm,[status(thm)],[26,54,theory(equality)]) ).
cnf(61,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(number_of_organizations(X2,X1),zero) ),
inference(spm,[status(thm)],[25,54,theory(equality)]) ).
cnf(62,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(number_of_organizations(X2,X1),zero) ),
inference(spm,[status(thm)],[31,54,theory(equality)]) ).
cnf(64,plain,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ in_environment(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[56,47]) ).
cnf(65,plain,
( growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[64,39]) ).
cnf(66,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[53,65,theory(equality)]) ).
cnf(67,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[66,19,theory(equality)]) ).
cnf(68,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[67,20,theory(equality)]) ).
cnf(69,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[68,theory(equality)]) ).
cnf(70,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ in_environment(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[57,47]) ).
cnf(71,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[70,39]) ).
cnf(72,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[53,71,theory(equality)]) ).
cnf(73,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[72,19,theory(equality)]) ).
cnf(74,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[73,20,theory(equality)]) ).
cnf(75,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[74,theory(equality)]) ).
cnf(76,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ in_environment(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[58,47]) ).
cnf(77,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[76,39]) ).
cnf(78,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(growth_rate(first_movers,esk2_0),zero)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[53,77,theory(equality)]) ).
cnf(79,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(growth_rate(first_movers,esk2_0),zero)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[78,19,theory(equality)]) ).
cnf(80,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(growth_rate(first_movers,esk2_0),zero)
| $false
| $false ),
inference(rw,[status(thm)],[79,20,theory(equality)]) ).
cnf(81,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(growth_rate(first_movers,esk2_0),zero) ),
inference(cn,[status(thm)],[80,theory(equality)]) ).
cnf(82,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[16,81,theory(equality)]) ).
cnf(83,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[82,69]) ).
cnf(84,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(equilibrium(X2),X1)
| ~ in_environment(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[59,47]) ).
cnf(85,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[84,39]) ).
cnf(86,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[53,85,theory(equality)]) ).
cnf(87,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[86,19,theory(equality)]) ).
cnf(88,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| $false ),
inference(rw,[status(thm)],[87,20,theory(equality)]) ).
cnf(89,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(growth_rate(efficient_producers,esk2_0),zero) ),
inference(cn,[status(thm)],[88,theory(equality)]) ).
cnf(90,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[15,89,theory(equality)]) ).
cnf(91,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[90,83]) ).
cnf(92,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ in_environment(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[60,47]) ).
cnf(93,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[92,39]) ).
cnf(94,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(growth_rate(first_movers,esk2_0),zero)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[53,93,theory(equality)]) ).
cnf(95,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(growth_rate(first_movers,esk2_0),zero)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[94,19,theory(equality)]) ).
cnf(96,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(growth_rate(first_movers,esk2_0),zero)
| $false
| $false ),
inference(rw,[status(thm)],[95,20,theory(equality)]) ).
cnf(97,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| greater(growth_rate(first_movers,esk2_0),zero) ),
inference(cn,[status(thm)],[96,theory(equality)]) ).
cnf(98,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0))
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[16,97,theory(equality)]) ).
cnf(99,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[98,75]) ).
cnf(100,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(equilibrium(X2),X1)
| ~ in_environment(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[61,47]) ).
cnf(101,plain,
( growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[100,39]) ).
cnf(102,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[53,101,theory(equality)]) ).
cnf(103,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[102,19,theory(equality)]) ).
cnf(104,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| $false ),
inference(rw,[status(thm)],[103,20,theory(equality)]) ).
cnf(105,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(growth_rate(efficient_producers,esk2_0),zero) ),
inference(cn,[status(thm)],[104,theory(equality)]) ).
cnf(106,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[15,105,theory(equality)]) ).
cnf(107,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[106,99]) ).
cnf(108,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| greater(equilibrium(X2),X1)
| ~ in_environment(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[62,47]) ).
cnf(109,plain,
( growth_rate(first_movers,X1) = zero
| greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| greater(equilibrium(X2),X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(csr,[status(thm)],[108,39]) ).
cnf(110,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[53,109,theory(equality)]) ).
cnf(111,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[110,19,theory(equality)]) ).
cnf(112,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| greater(growth_rate(efficient_producers,esk2_0),zero)
| $false
| $false ),
inference(rw,[status(thm)],[111,20,theory(equality)]) ).
cnf(113,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| greater(growth_rate(efficient_producers,esk2_0),zero) ),
inference(cn,[status(thm)],[112,theory(equality)]) ).
cnf(120,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(spm,[status(thm)],[15,113,theory(equality)]) ).
cnf(122,plain,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero) ),
inference(csr,[status(thm)],[120,83]) ).
cnf(123,plain,
( growth_rate(first_movers,esk2_0) = zero
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(spm,[status(thm)],[16,122,theory(equality)]) ).
cnf(124,plain,
growth_rate(first_movers,esk2_0) = zero,
inference(csr,[status(thm)],[123,91]) ).
cnf(128,plain,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,zero) ),
inference(rw,[status(thm)],[99,124,theory(equality)]) ).
cnf(132,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,esk2_0))
| ~ greater(zero,zero) ),
inference(rw,[status(thm)],[16,124,theory(equality)]) ).
cnf(134,negated_conjecture,
( $false
| growth_rate(efficient_producers,esk2_0) != zero ),
inference(rw,[status(thm)],[17,124,theory(equality)]) ).
cnf(135,negated_conjecture,
growth_rate(efficient_producers,esk2_0) != zero,
inference(cn,[status(thm)],[134,theory(equality)]) ).
cnf(136,plain,
greater(zero,growth_rate(efficient_producers,esk2_0)),
inference(sr,[status(thm)],[107,135,theory(equality)]) ).
cnf(137,negated_conjecture,
( $false
| ~ greater(zero,zero) ),
inference(rw,[status(thm)],[132,136,theory(equality)]) ).
cnf(138,negated_conjecture,
~ greater(zero,zero),
inference(cn,[status(thm)],[137,theory(equality)]) ).
cnf(139,plain,
greater(zero,zero),
inference(sr,[status(thm)],[128,135,theory(equality)]) ).
cnf(140,plain,
$false,
inference(sr,[status(thm)],[139,138,theory(equality)]) ).
cnf(141,plain,
$false,
140,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT024+1.p
% --creating new selector for []
% -running prover on /tmp/tmp84TcvH/sel_MGT024+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT024+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT024+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT024+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
%
%------------------------------------------------------------------------------