TSTP Solution File: MGT032+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT032+2 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 21:05:29 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 218 ( 93 ~; 82 |; 36 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 33 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> selection_favors(efficient_producers,first_movers,X3) ) ) ),
file('/tmp/tmpXdORNm/sel_MGT032+2.p_1',prove_t1) ).
fof(2,axiom,
! [X1,X4,X5,X3] :
( ( environment(X1)
& subpopulations(X4,X5,X1,X3)
& greater(growth_rate(X5,X3),growth_rate(X4,X3)) )
=> selection_favors(X5,X4,X3) ),
file('/tmp/tmpXdORNm/sel_MGT032+2.p_1',mp1_high_growth_rates) ).
fof(3,axiom,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/tmp/tmpXdORNm/sel_MGT032+2.p_1',l1) ).
fof(4,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> selection_favors(efficient_producers,first_movers,X3) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(5,negated_conjecture,
? [X1] :
( environment(X1)
& stable(X1)
& ! [X2] :
( ~ in_environment(X1,X2)
| ? [X3] :
( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2)
& ~ selection_favors(efficient_producers,first_movers,X3) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(6,negated_conjecture,
? [X4] :
( environment(X4)
& stable(X4)
& ! [X5] :
( ~ in_environment(X4,X5)
| ? [X6] :
( subpopulations(first_movers,efficient_producers,X4,X6)
& greater_or_equal(X6,X5)
& ~ selection_favors(efficient_producers,first_movers,X6) ) ) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(7,negated_conjecture,
( environment(esk1_0)
& stable(esk1_0)
& ! [X5] :
( ~ in_environment(esk1_0,X5)
| ( subpopulations(first_movers,efficient_producers,esk1_0,esk2_1(X5))
& greater_or_equal(esk2_1(X5),X5)
& ~ selection_favors(efficient_producers,first_movers,esk2_1(X5)) ) ) ),
inference(skolemize,[status(esa)],[6]) ).
fof(8,negated_conjecture,
! [X5] :
( ( ~ in_environment(esk1_0,X5)
| ( subpopulations(first_movers,efficient_producers,esk1_0,esk2_1(X5))
& greater_or_equal(esk2_1(X5),X5)
& ~ selection_favors(efficient_producers,first_movers,esk2_1(X5)) ) )
& environment(esk1_0)
& stable(esk1_0) ),
inference(shift_quantors,[status(thm)],[7]) ).
fof(9,negated_conjecture,
! [X5] :
( ( subpopulations(first_movers,efficient_producers,esk1_0,esk2_1(X5))
| ~ in_environment(esk1_0,X5) )
& ( greater_or_equal(esk2_1(X5),X5)
| ~ in_environment(esk1_0,X5) )
& ( ~ selection_favors(efficient_producers,first_movers,esk2_1(X5))
| ~ in_environment(esk1_0,X5) )
& environment(esk1_0)
& stable(esk1_0) ),
inference(distribute,[status(thm)],[8]) ).
cnf(10,negated_conjecture,
stable(esk1_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(11,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(12,negated_conjecture,
( ~ in_environment(esk1_0,X1)
| ~ selection_favors(efficient_producers,first_movers,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(13,negated_conjecture,
( greater_or_equal(esk2_1(X1),X1)
| ~ in_environment(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(14,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_1(X1))
| ~ in_environment(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[9]) ).
fof(15,plain,
! [X1,X4,X5,X3] :
( ~ environment(X1)
| ~ subpopulations(X4,X5,X1,X3)
| ~ greater(growth_rate(X5,X3),growth_rate(X4,X3))
| selection_favors(X5,X4,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(16,plain,
! [X6,X7,X8,X9] :
( ~ environment(X6)
| ~ subpopulations(X7,X8,X6,X9)
| ~ greater(growth_rate(X8,X9),growth_rate(X7,X9))
| selection_favors(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[15]) ).
cnf(17,plain,
( selection_favors(X1,X2,X3)
| ~ greater(growth_rate(X1,X3),growth_rate(X2,X3))
| ~ subpopulations(X2,X1,X4,X3)
| ~ environment(X4) ),
inference(split_conjunct,[status(thm)],[16]) ).
fof(18,plain,
! [X1] :
( ~ environment(X1)
| ~ stable(X1)
| ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X3,X2)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(19,plain,
! [X4] :
( ~ environment(X4)
| ~ stable(X4)
| ? [X5] :
( in_environment(X4,X5)
& ! [X6] :
( ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater_or_equal(X6,X5)
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) ) ) ),
inference(variable_rename,[status(thm)],[18]) ).
fof(20,plain,
! [X4] :
( ~ environment(X4)
| ~ stable(X4)
| ( in_environment(X4,esk3_1(X4))
& ! [X6] :
( ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater_or_equal(X6,esk3_1(X4))
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) ) ) ),
inference(skolemize,[status(esa)],[19]) ).
fof(21,plain,
! [X4,X6] :
( ( ( ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater_or_equal(X6,esk3_1(X4))
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) )
& in_environment(X4,esk3_1(X4)) )
| ~ environment(X4)
| ~ stable(X4) ),
inference(shift_quantors,[status(thm)],[20]) ).
fof(22,plain,
! [X4,X6] :
( ( ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater_or_equal(X6,esk3_1(X4))
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6))
| ~ environment(X4)
| ~ stable(X4) )
& ( in_environment(X4,esk3_1(X4))
| ~ environment(X4)
| ~ stable(X4) ) ),
inference(distribute,[status(thm)],[21]) ).
cnf(23,plain,
( in_environment(X1,esk3_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(24,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ greater_or_equal(X2,esk3_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(25,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_1(esk3_1(X1))),growth_rate(first_movers,esk2_1(esk3_1(X1))))
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_1(esk3_1(X1)))
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(esk1_0,esk3_1(X1)) ),
inference(spm,[status(thm)],[24,13,theory(equality)]) ).
cnf(26,negated_conjecture,
( selection_favors(efficient_producers,first_movers,esk2_1(esk3_1(X1)))
| ~ subpopulations(first_movers,efficient_producers,X2,esk2_1(esk3_1(X1)))
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_1(esk3_1(X1)))
| ~ in_environment(esk1_0,esk3_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[17,25,theory(equality)]) ).
cnf(27,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,X2,esk2_1(esk3_1(X1)))
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_1(esk3_1(X1)))
| ~ in_environment(esk1_0,esk3_1(X1))
| ~ stable(X1)
| ~ environment(X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[26,12]) ).
cnf(28,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,X1,esk2_1(esk3_1(X1)))
| ~ in_environment(esk1_0,esk3_1(X1))
| ~ stable(X1)
| ~ environment(esk1_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[27,14,theory(equality)]) ).
cnf(29,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,X1,esk2_1(esk3_1(X1)))
| ~ in_environment(esk1_0,esk3_1(X1))
| ~ stable(X1)
| $false
| ~ environment(X1) ),
inference(rw,[status(thm)],[28,11,theory(equality)]) ).
cnf(30,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,X1,esk2_1(esk3_1(X1)))
| ~ in_environment(esk1_0,esk3_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[29,theory(equality)]) ).
cnf(31,negated_conjecture,
( ~ in_environment(esk1_0,esk3_1(esk1_0))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[30,14,theory(equality)]) ).
cnf(32,negated_conjecture,
( ~ in_environment(esk1_0,esk3_1(esk1_0))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[31,10,theory(equality)]) ).
cnf(33,negated_conjecture,
( ~ in_environment(esk1_0,esk3_1(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[32,11,theory(equality)]) ).
cnf(34,negated_conjecture,
~ in_environment(esk1_0,esk3_1(esk1_0)),
inference(cn,[status(thm)],[33,theory(equality)]) ).
cnf(35,plain,
( ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[34,23,theory(equality)]) ).
cnf(36,plain,
( $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[35,10,theory(equality)]) ).
cnf(37,plain,
( $false
| $false ),
inference(rw,[status(thm)],[36,11,theory(equality)]) ).
cnf(38,plain,
$false,
inference(cn,[status(thm)],[37,theory(equality)]) ).
cnf(39,plain,
$false,
38,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT032+2.p
% --creating new selector for []
% -running prover on /tmp/tmpXdORNm/sel_MGT032+2.p_1 with time limit 29
% -prover status Theorem
% Problem MGT032+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT032+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT032+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------