%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT037+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 21:06:26 EST 2010
% Result : Theorem 0.29s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 16
% Syntax : Number of formulae : 131 ( 13 unt; 0 def)
% Number of atoms : 561 ( 65 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 740 ( 310 ~; 316 |; 84 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 220 ( 0 sgn 124 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( cardinality_at_time(efficient_producers,X2) = zero
| greater(cardinality_at_time(efficient_producers,X2),zero) ) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_efficient_producers_exist) ).
fof(2,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(appear(an_organisation,X1),X2) )
=> number_of_organizations(X1,X2) = zero ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_start_of_organizations) ).
fof(3,axiom,
! [X1,X3,X4,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& ~ greater(zero,growth_rate(X3,X2))
& greater(resilience(X4),resilience(X3)) )
=> ~ greater(zero,growth_rate(X4,X2)) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',a12) ).
fof(4,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( greater_or_equal(X2,appear(an_organisation,X1))
| greater(appear(an_organisation,X1),X2) ) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_environment_inequality) ).
fof(5,axiom,
! [X1,X2] :
( ( environment(X1)
& greater_or_equal(X2,appear(efficient_producers,X1))
& cardinality_at_time(efficient_producers,X2) = zero )
=> ? [X5] :
( greater(X5,appear(efficient_producers,X1))
& in_environment(X1,X5)
& greater(X2,X5)
& greater(zero,growth_rate(efficient_producers,X5)) ) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_previous_negative_growth) ).
fof(6,axiom,
! [X6,X2] :
( cardinality_at_time(X6,X2) = zero
=> ~ greater(zero,growth_rate(X6,X2)) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_empty_not_decreasing) ).
fof(7,axiom,
! [X1,X2,X7] :
( ( environment(X1)
& in_environment(X1,X2)
& number_of_organizations(X1,X2) = zero
& subpopulation(X7,X1,X2) )
=> cardinality_at_time(X7,X2) = zero ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_no_members) ).
fof(8,conjecture,
! [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/tmp1DJKhB/sel_MGT037+1.p_1',prove_t6) ).
fof(9,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater_or_equal(X2,appear(an_organisation,X1)) )
=> greater(number_of_organizations(X1,X2),zero) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',a1) ).
fof(10,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/tmp1DJKhB/sel_MGT037+1.p_1',a3) ).
fof(11,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',a2) ).
fof(12,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& ~ decreases(number_of_organizations(X1,X2)) )
=> ? [X7] :
( subpopulation(X7,X1,X2)
& greater(cardinality_at_time(X7,X2),zero)
& ~ greater(zero,growth_rate(X7,X2)) ) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_non_decreasing) ).
fof(13,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/tmp1DJKhB/sel_MGT037+1.p_1',a6) ).
fof(14,axiom,
! [X1,X7,X2] :
( ( environment(X1)
& subpopulation(X7,X1,X2)
& greater(cardinality_at_time(X7,X2),zero) )
=> ( X7 = efficient_producers
| X7 = first_movers ) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',a9) ).
fof(15,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( subpopulation(first_movers,X1,X2)
& subpopulation(efficient_producers,X1,X2) ) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_subpopulations) ).
fof(16,axiom,
! [X7] :
( constant(X7)
=> ~ decreases(X7) ),
file('/tmp/tmp1DJKhB/sel_MGT037+1.p_1',mp_constant_not_decrease) ).
fof(17,negated_conjecture,
~ ! [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(assume_negation,[status(cth)],[8]) ).
fof(18,plain,
! [X1,X3,X4,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& ~ greater(zero,growth_rate(X3,X2))
& greater(resilience(X4),resilience(X3)) )
=> ~ greater(zero,growth_rate(X4,X2)) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(19,plain,
! [X6,X2] :
( cardinality_at_time(X6,X2) = zero
=> ~ greater(zero,growth_rate(X6,X2)) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(20,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)],[10,theory(equality)]) ).
fof(21,plain,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& ~ decreases(number_of_organizations(X1,X2)) )
=> ? [X7] :
( subpopulation(X7,X1,X2)
& greater(cardinality_at_time(X7,X2),zero)
& ~ greater(zero,growth_rate(X7,X2)) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(22,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)],[13,theory(equality)]) ).
fof(23,plain,
! [X7] :
( constant(X7)
=> ~ decreases(X7) ),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(24,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| cardinality_at_time(efficient_producers,X2) = zero
| greater(cardinality_at_time(efficient_producers,X2),zero) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(25,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| cardinality_at_time(efficient_producers,X4) = zero
| greater(cardinality_at_time(efficient_producers,X4),zero) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| cardinality_at_time(efficient_producers,X1) = zero
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(an_organisation,X1),X2)
| number_of_organizations(X1,X2) = zero ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(28,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater(appear(an_organisation,X3),X4)
| number_of_organizations(X3,X4) = zero ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( number_of_organizations(X1,X2) = zero
| ~ greater(appear(an_organisation,X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X1,X3,X4,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| greater(zero,growth_rate(X3,X2))
| ~ greater(resilience(X4),resilience(X3))
| ~ greater(zero,growth_rate(X4,X2)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(31,plain,
! [X5,X6,X7,X8] :
( ~ environment(X5)
| ~ in_environment(X5,X8)
| greater(zero,growth_rate(X6,X8))
| ~ greater(resilience(X7),resilience(X6))
| ~ greater(zero,growth_rate(X7,X8)) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( greater(zero,growth_rate(X3,X2))
| ~ greater(zero,growth_rate(X1,X2))
| ~ greater(resilience(X1),resilience(X3))
| ~ in_environment(X4,X2)
| ~ environment(X4) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| greater_or_equal(X2,appear(an_organisation,X1))
| greater(appear(an_organisation,X1),X2) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(34,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| greater_or_equal(X4,appear(an_organisation,X3))
| greater(appear(an_organisation,X3),X4) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(35,plain,
( greater(appear(an_organisation,X1),X2)
| greater_or_equal(X2,appear(an_organisation,X1))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero
| ? [X5] :
( greater(X5,appear(efficient_producers,X1))
& in_environment(X1,X5)
& greater(X2,X5)
& greater(zero,growth_rate(efficient_producers,X5)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(37,plain,
! [X6,X7] :
( ~ environment(X6)
| ~ greater_or_equal(X7,appear(efficient_producers,X6))
| cardinality_at_time(efficient_producers,X7) != zero
| ? [X8] :
( greater(X8,appear(efficient_producers,X6))
& in_environment(X6,X8)
& greater(X7,X8)
& greater(zero,growth_rate(efficient_producers,X8)) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X6,X7] :
( ~ environment(X6)
| ~ greater_or_equal(X7,appear(efficient_producers,X6))
| cardinality_at_time(efficient_producers,X7) != zero
| ( greater(esk1_2(X6,X7),appear(efficient_producers,X6))
& in_environment(X6,esk1_2(X6,X7))
& greater(X7,esk1_2(X6,X7))
& greater(zero,growth_rate(efficient_producers,esk1_2(X6,X7))) ) ),
inference(skolemize,[status(esa)],[37]) ).
fof(39,plain,
! [X6,X7] :
( ( greater(esk1_2(X6,X7),appear(efficient_producers,X6))
| ~ environment(X6)
| ~ greater_or_equal(X7,appear(efficient_producers,X6))
| cardinality_at_time(efficient_producers,X7) != zero )
& ( in_environment(X6,esk1_2(X6,X7))
| ~ environment(X6)
| ~ greater_or_equal(X7,appear(efficient_producers,X6))
| cardinality_at_time(efficient_producers,X7) != zero )
& ( greater(X7,esk1_2(X6,X7))
| ~ environment(X6)
| ~ greater_or_equal(X7,appear(efficient_producers,X6))
| cardinality_at_time(efficient_producers,X7) != zero )
& ( greater(zero,growth_rate(efficient_producers,esk1_2(X6,X7)))
| ~ environment(X6)
| ~ greater_or_equal(X7,appear(efficient_producers,X6))
| cardinality_at_time(efficient_producers,X7) != zero ) ),
inference(distribute,[status(thm)],[38]) ).
cnf(40,plain,
( greater(zero,growth_rate(efficient_producers,esk1_2(X2,X1)))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(42,plain,
( in_environment(X2,esk1_2(X2,X1))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(44,plain,
! [X6,X2] :
( cardinality_at_time(X6,X2) != zero
| ~ greater(zero,growth_rate(X6,X2)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(45,plain,
! [X7,X8] :
( cardinality_at_time(X7,X8) != zero
| ~ greater(zero,growth_rate(X7,X8)) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( ~ greater(zero,growth_rate(X1,X2))
| cardinality_at_time(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,plain,
! [X1,X2,X7] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| number_of_organizations(X1,X2) != zero
| ~ subpopulation(X7,X1,X2)
| cardinality_at_time(X7,X2) = zero ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(48,plain,
! [X8,X9,X10] :
( ~ environment(X8)
| ~ in_environment(X8,X9)
| number_of_organizations(X8,X9) != zero
| ~ subpopulation(X10,X8,X9)
| cardinality_at_time(X10,X9) = zero ),
inference(variable_rename,[status(thm)],[47]) ).
cnf(49,plain,
( cardinality_at_time(X1,X2) = zero
| ~ subpopulation(X1,X3,X2)
| number_of_organizations(X3,X2) != zero
| ~ in_environment(X3,X2)
| ~ environment(X3) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(50,negated_conjecture,
? [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)],[17]) ).
fof(51,negated_conjecture,
? [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)],[50]) ).
fof(52,negated_conjecture,
( environment(esk2_0)
& in_environment(esk2_0,esk3_0)
& greater_or_equal(esk3_0,appear(efficient_producers,esk2_0))
& ~ greater(cardinality_at_time(efficient_producers,esk3_0),zero) ),
inference(skolemize,[status(esa)],[51]) ).
cnf(53,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,esk3_0),zero),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(54,negated_conjecture,
greater_or_equal(esk3_0,appear(efficient_producers,esk2_0)),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(55,negated_conjecture,
in_environment(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(56,negated_conjecture,
environment(esk2_0),
inference(split_conjunct,[status(thm)],[52]) ).
fof(57,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1))
| greater(number_of_organizations(X1,X2),zero) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(58,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater_or_equal(X4,appear(an_organisation,X3))
| greater(number_of_organizations(X3,X4),zero) ),
inference(variable_rename,[status(thm)],[57]) ).
cnf(59,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ greater_or_equal(X2,appear(an_organisation,X1))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[58]) ).
fof(60,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)],[20]) ).
fof(61,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)],[60]) ).
fof(62,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)],[61]) ).
cnf(63,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)],[62]) ).
cnf(64,plain,
( decreases(resources(X1,X2))
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(equilibrium(X1),X2) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(65,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(split_conjunct,[status(thm)],[11]) ).
fof(66,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| decreases(number_of_organizations(X1,X2))
| ? [X7] :
( subpopulation(X7,X1,X2)
& greater(cardinality_at_time(X7,X2),zero)
& ~ greater(zero,growth_rate(X7,X2)) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(67,plain,
! [X8,X9] :
( ~ environment(X8)
| ~ in_environment(X8,X9)
| decreases(number_of_organizations(X8,X9))
| ? [X10] :
( subpopulation(X10,X8,X9)
& greater(cardinality_at_time(X10,X9),zero)
& ~ greater(zero,growth_rate(X10,X9)) ) ),
inference(variable_rename,[status(thm)],[66]) ).
fof(68,plain,
! [X8,X9] :
( ~ environment(X8)
| ~ in_environment(X8,X9)
| decreases(number_of_organizations(X8,X9))
| ( subpopulation(esk4_2(X8,X9),X8,X9)
& greater(cardinality_at_time(esk4_2(X8,X9),X9),zero)
& ~ greater(zero,growth_rate(esk4_2(X8,X9),X9)) ) ),
inference(skolemize,[status(esa)],[67]) ).
fof(69,plain,
! [X8,X9] :
( ( subpopulation(esk4_2(X8,X9),X8,X9)
| ~ environment(X8)
| ~ in_environment(X8,X9)
| decreases(number_of_organizations(X8,X9)) )
& ( greater(cardinality_at_time(esk4_2(X8,X9),X9),zero)
| ~ environment(X8)
| ~ in_environment(X8,X9)
| decreases(number_of_organizations(X8,X9)) )
& ( ~ greater(zero,growth_rate(esk4_2(X8,X9),X9))
| ~ environment(X8)
| ~ in_environment(X8,X9)
| decreases(number_of_organizations(X8,X9)) ) ),
inference(distribute,[status(thm)],[68]) ).
cnf(70,plain,
( decreases(number_of_organizations(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(zero,growth_rate(esk4_2(X1,X2),X2)) ),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(71,plain,
( decreases(number_of_organizations(X1,X2))
| greater(cardinality_at_time(esk4_2(X1,X2),X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[69]) ).
cnf(72,plain,
( decreases(number_of_organizations(X1,X2))
| subpopulation(esk4_2(X1,X2),X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(73,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)],[22]) ).
fof(74,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)],[73]) ).
fof(75,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)],[74]) ).
cnf(76,plain,
( constant(number_of_organizations(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ constant(resources(X1,X2)) ),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(77,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ decreases(number_of_organizations(X1,X2))
| ~ decreases(resources(X1,X2)) ),
inference(split_conjunct,[status(thm)],[75]) ).
fof(78,plain,
! [X1,X7,X2] :
( ~ environment(X1)
| ~ subpopulation(X7,X1,X2)
| ~ greater(cardinality_at_time(X7,X2),zero)
| X7 = efficient_producers
| X7 = first_movers ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(79,plain,
! [X8,X9,X10] :
( ~ environment(X8)
| ~ subpopulation(X9,X8,X10)
| ~ greater(cardinality_at_time(X9,X10),zero)
| X9 = efficient_producers
| X9 = first_movers ),
inference(variable_rename,[status(thm)],[78]) ).
cnf(80,plain,
( X1 = first_movers
| X1 = efficient_producers
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ environment(X3) ),
inference(split_conjunct,[status(thm)],[79]) ).
fof(81,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ( subpopulation(first_movers,X1,X2)
& subpopulation(efficient_producers,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(82,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| ( subpopulation(first_movers,X3,X4)
& subpopulation(efficient_producers,X3,X4) ) ),
inference(variable_rename,[status(thm)],[81]) ).
fof(83,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)],[82]) ).
cnf(85,plain,
( subpopulation(first_movers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(86,plain,
! [X7] :
( ~ constant(X7)
| ~ decreases(X7) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(87,plain,
! [X8] :
( ~ constant(X8)
| ~ decreases(X8) ),
inference(variable_rename,[status(thm)],[86]) ).
cnf(88,plain,
( ~ decreases(X1)
| ~ constant(X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(89,negated_conjecture,
( cardinality_at_time(efficient_producers,esk3_0) = zero
| greater(cardinality_at_time(efficient_producers,esk3_0),zero)
| ~ environment(esk2_0) ),
inference(spm,[status(thm)],[26,55,theory(equality)]) ).
cnf(90,negated_conjecture,
( cardinality_at_time(efficient_producers,esk3_0) = zero
| greater(cardinality_at_time(efficient_producers,esk3_0),zero)
| $false ),
inference(rw,[status(thm)],[89,56,theory(equality)]) ).
cnf(91,negated_conjecture,
( cardinality_at_time(efficient_producers,esk3_0) = zero
| greater(cardinality_at_time(efficient_producers,esk3_0),zero) ),
inference(cn,[status(thm)],[90,theory(equality)]) ).
cnf(92,negated_conjecture,
cardinality_at_time(efficient_producers,esk3_0) = zero,
inference(sr,[status(thm)],[91,53,theory(equality)]) ).
cnf(93,negated_conjecture,
( in_environment(esk2_0,esk1_2(esk2_0,esk3_0))
| cardinality_at_time(efficient_producers,esk3_0) != zero
| ~ environment(esk2_0) ),
inference(spm,[status(thm)],[42,54,theory(equality)]) ).
cnf(94,negated_conjecture,
( in_environment(esk2_0,esk1_2(esk2_0,esk3_0))
| cardinality_at_time(efficient_producers,esk3_0) != zero
| $false ),
inference(rw,[status(thm)],[93,56,theory(equality)]) ).
cnf(95,negated_conjecture,
( in_environment(esk2_0,esk1_2(esk2_0,esk3_0))
| cardinality_at_time(efficient_producers,esk3_0) != zero ),
inference(cn,[status(thm)],[94,theory(equality)]) ).
cnf(100,plain,
( greater(number_of_organizations(X1,X2),zero)
| greater(appear(an_organisation,X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[59,35,theory(equality)]) ).
cnf(102,plain,
( cardinality_at_time(first_movers,X1) = zero
| number_of_organizations(X2,X1) != zero
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[49,85,theory(equality)]) ).
cnf(103,plain,
( greater(zero,growth_rate(X1,esk1_2(X2,X3)))
| ~ greater(resilience(efficient_producers),resilience(X1))
| ~ in_environment(X4,esk1_2(X2,X3))
| ~ environment(X4)
| cardinality_at_time(efficient_producers,X3) != zero
| ~ greater_or_equal(X3,appear(efficient_producers,X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[32,40,theory(equality)]) ).
cnf(104,plain,
( ~ decreases(number_of_organizations(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ greater(equilibrium(X1),X2) ),
inference(spm,[status(thm)],[77,64,theory(equality)]) ).
cnf(105,plain,
( first_movers = esk4_2(X1,X2)
| efficient_producers = esk4_2(X1,X2)
| decreases(number_of_organizations(X1,X2))
| ~ greater(cardinality_at_time(esk4_2(X1,X2),X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(spm,[status(thm)],[80,72,theory(equality)]) ).
cnf(108,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)],[76,63,theory(equality)]) ).
cnf(110,negated_conjecture,
( in_environment(esk2_0,esk1_2(esk2_0,esk3_0))
| $false ),
inference(rw,[status(thm)],[95,92,theory(equality)]) ).
cnf(111,negated_conjecture,
in_environment(esk2_0,esk1_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[110,theory(equality)]) ).
cnf(118,plain,
( greater(equilibrium(X1),X2)
| ~ decreases(number_of_organizations(X1,X2))
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[88,108,theory(equality)]) ).
cnf(119,plain,
( ~ decreases(number_of_organizations(X1,X2))
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[118,104]) ).
cnf(122,negated_conjecture,
( greater(zero,growth_rate(X1,esk1_2(esk2_0,esk3_0)))
| cardinality_at_time(efficient_producers,esk3_0) != zero
| ~ greater_or_equal(esk3_0,appear(efficient_producers,esk2_0))
| ~ greater(resilience(efficient_producers),resilience(X1))
| ~ environment(esk2_0) ),
inference(spm,[status(thm)],[103,111,theory(equality)]) ).
cnf(123,negated_conjecture,
( greater(zero,growth_rate(X1,esk1_2(esk2_0,esk3_0)))
| $false
| ~ greater_or_equal(esk3_0,appear(efficient_producers,esk2_0))
| ~ greater(resilience(efficient_producers),resilience(X1))
| ~ environment(esk2_0) ),
inference(rw,[status(thm)],[122,92,theory(equality)]) ).
cnf(124,negated_conjecture,
( greater(zero,growth_rate(X1,esk1_2(esk2_0,esk3_0)))
| $false
| $false
| ~ greater(resilience(efficient_producers),resilience(X1))
| ~ environment(esk2_0) ),
inference(rw,[status(thm)],[123,54,theory(equality)]) ).
cnf(125,negated_conjecture,
( greater(zero,growth_rate(X1,esk1_2(esk2_0,esk3_0)))
| $false
| $false
| ~ greater(resilience(efficient_producers),resilience(X1))
| $false ),
inference(rw,[status(thm)],[124,56,theory(equality)]) ).
cnf(126,negated_conjecture,
( greater(zero,growth_rate(X1,esk1_2(esk2_0,esk3_0)))
| ~ greater(resilience(efficient_producers),resilience(X1)) ),
inference(cn,[status(thm)],[125,theory(equality)]) ).
cnf(127,negated_conjecture,
( cardinality_at_time(X1,esk1_2(esk2_0,esk3_0)) != zero
| ~ greater(resilience(efficient_producers),resilience(X1)) ),
inference(spm,[status(thm)],[46,126,theory(equality)]) ).
cnf(128,negated_conjecture,
( decreases(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)))
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| ~ greater(resilience(efficient_producers),resilience(esk4_2(X1,esk1_2(esk2_0,esk3_0)))) ),
inference(spm,[status(thm)],[70,126,theory(equality)]) ).
cnf(130,plain,
cardinality_at_time(first_movers,esk1_2(esk2_0,esk3_0)) != zero,
inference(spm,[status(thm)],[127,65,theory(equality)]) ).
cnf(144,plain,
( esk4_2(X1,X2) = first_movers
| esk4_2(X1,X2) = efficient_producers
| decreases(number_of_organizations(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[105,71]) ).
cnf(145,plain,
( esk4_2(X1,X2) = efficient_producers
| esk4_2(X1,X2) = first_movers
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[119,144,theory(equality)]) ).
cnf(150,plain,
( decreases(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)))
| esk4_2(X1,esk1_2(esk2_0,esk3_0)) = efficient_producers
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero) ),
inference(spm,[status(thm)],[128,145,theory(equality)]) ).
cnf(152,plain,
( decreases(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)))
| esk4_2(X1,esk1_2(esk2_0,esk3_0)) = efficient_producers
| $false
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero) ),
inference(rw,[status(thm)],[150,65,theory(equality)]) ).
cnf(153,plain,
( decreases(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)))
| esk4_2(X1,esk1_2(esk2_0,esk3_0)) = efficient_producers
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero) ),
inference(cn,[status(thm)],[152,theory(equality)]) ).
cnf(171,plain,
( esk4_2(X1,esk1_2(esk2_0,esk3_0)) = efficient_producers
| ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero)
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1) ),
inference(csr,[status(thm)],[153,119]) ).
cnf(172,plain,
( decreases(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)))
| ~ greater(zero,growth_rate(efficient_producers,esk1_2(esk2_0,esk3_0)))
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero) ),
inference(spm,[status(thm)],[70,171,theory(equality)]) ).
cnf(190,plain,
( ~ greater(zero,growth_rate(efficient_producers,esk1_2(esk2_0,esk3_0)))
| ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero)
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1) ),
inference(csr,[status(thm)],[172,119]) ).
cnf(191,plain,
( ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero)
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| cardinality_at_time(efficient_producers,esk3_0) != zero
| ~ greater_or_equal(esk3_0,appear(efficient_producers,esk2_0))
| ~ environment(esk2_0) ),
inference(spm,[status(thm)],[190,40,theory(equality)]) ).
cnf(194,plain,
( ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero)
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| $false
| ~ greater_or_equal(esk3_0,appear(efficient_producers,esk2_0))
| ~ environment(esk2_0) ),
inference(rw,[status(thm)],[191,92,theory(equality)]) ).
cnf(195,plain,
( ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero)
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| $false
| $false
| ~ environment(esk2_0) ),
inference(rw,[status(thm)],[194,54,theory(equality)]) ).
cnf(196,plain,
( ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero)
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[195,56,theory(equality)]) ).
cnf(197,plain,
( ~ greater(number_of_organizations(X1,esk1_2(esk2_0,esk3_0)),zero)
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1) ),
inference(cn,[status(thm)],[196,theory(equality)]) ).
cnf(198,plain,
( greater(appear(an_organisation,X1),esk1_2(esk2_0,esk3_0))
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1) ),
inference(spm,[status(thm)],[197,100,theory(equality)]) ).
cnf(199,plain,
( number_of_organizations(X1,esk1_2(esk2_0,esk3_0)) = zero
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1) ),
inference(spm,[status(thm)],[29,198,theory(equality)]) ).
cnf(201,plain,
( cardinality_at_time(first_movers,esk1_2(esk2_0,esk3_0)) = zero
| ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1) ),
inference(spm,[status(thm)],[102,199,theory(equality)]) ).
cnf(211,plain,
( ~ in_environment(X1,esk1_2(esk2_0,esk3_0))
| ~ environment(X1) ),
inference(sr,[status(thm)],[201,130,theory(equality)]) ).
cnf(217,negated_conjecture,
~ environment(esk2_0),
inference(spm,[status(thm)],[211,111,theory(equality)]) ).
cnf(218,negated_conjecture,
$false,
inference(rw,[status(thm)],[217,56,theory(equality)]) ).
cnf(219,negated_conjecture,
$false,
inference(cn,[status(thm)],[218,theory(equality)]) ).
cnf(220,negated_conjecture,
$false,
219,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT037+1.p
% --creating new selector for []
% -running prover on /tmp/tmp1DJKhB/sel_MGT037+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT037+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT037+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT037+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
%
%------------------------------------------------------------------------------