TSTP Solution File: MGT020+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT020+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 21:04:27 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 9 unt; 0 def)
% Number of atoms : 245 ( 13 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 288 ( 117 ~; 129 |; 26 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 63 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X4,X5,X6] :
( ( environment(X4)
& greater_or_equal(X5,start_time(X4))
& greater(X6,X5)
& in_environment(X4,X6) )
=> in_environment(X4,X5) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',mp_times_in_order) ).
fof(4,axiom,
! [X4,X7] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X7) )
=> in_environment(X4,X7) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',mp_time_point_occurs) ).
fof(5,conjecture,
! [X4,X7] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X7) )
=> greater(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7)) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',prove_l2) ).
fof(6,axiom,
! [X4,X7] :
( environment(X4)
=> ( ( in_environment(X4,initial_FM_EP(X4))
=> subpopulations(first_movers,efficient_producers,X4,initial_FM_EP(X4)) )
& ( subpopulations(first_movers,efficient_producers,X4,X7)
=> greater_or_equal(X7,initial_FM_EP(X4)) ) ) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',mp_earliest_time_point) ).
fof(7,axiom,
! [X4] :
( environment(X4)
=> greater_or_equal(initial_FM_EP(X4),start_time(X4)) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',mp_initial_time) ).
fof(8,axiom,
! [X1,X2] :
( greater_or_equal(X1,X2)
=> ( greater(X1,X2)
| X1 = X2 ) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',mp_greater_or_equal) ).
fof(9,axiom,
! [X4,X7,X5,X6] :
( ( environment(X4)
& greater_or_equal(X7,X5)
& greater_or_equal(X6,X7)
& subpopulations(first_movers,efficient_producers,X4,X6)
& greater(disbanding_rate(first_movers,X5),disbanding_rate(efficient_producers,X5)) )
=> ( ~ decreases(difference(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7)))
=> greater(disbanding_rate(first_movers,X6),disbanding_rate(efficient_producers,X6)) ) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',mp_positive_function_difference) ).
fof(10,axiom,
! [X4] :
( environment(X4)
=> greater(disbanding_rate(first_movers,initial_FM_EP(X4)),disbanding_rate(efficient_producers,initial_FM_EP(X4))) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',a8) ).
fof(11,axiom,
! [X4,X7] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X7) )
=> ~ decreases(difference(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7))) ),
file('/tmp/tmpR1AziZ/sel_MGT020+1.p_1',l3) ).
fof(12,negated_conjecture,
~ ! [X4,X7] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X7) )
=> greater(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7)) ),
inference(assume_negation,[status(cth)],[5]) ).
fof(13,plain,
! [X4,X7,X5,X6] :
( ( environment(X4)
& greater_or_equal(X7,X5)
& greater_or_equal(X6,X7)
& subpopulations(first_movers,efficient_producers,X4,X6)
& greater(disbanding_rate(first_movers,X5),disbanding_rate(efficient_producers,X5)) )
=> ( ~ decreases(difference(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7)))
=> greater(disbanding_rate(first_movers,X6),disbanding_rate(efficient_producers,X6)) ) ),
inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).
fof(14,plain,
! [X4,X7] :
( ( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X7) )
=> ~ decreases(difference(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7))) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(21,plain,
! [X4,X5,X6] :
( ~ environment(X4)
| ~ greater_or_equal(X5,start_time(X4))
| ~ greater(X6,X5)
| ~ in_environment(X4,X6)
| in_environment(X4,X5) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(22,plain,
! [X7,X8,X9] :
( ~ environment(X7)
| ~ greater_or_equal(X8,start_time(X7))
| ~ greater(X9,X8)
| ~ in_environment(X7,X9)
| in_environment(X7,X8) ),
inference(variable_rename,[status(thm)],[21]) ).
cnf(23,plain,
( in_environment(X1,X2)
| ~ in_environment(X1,X3)
| ~ greater(X3,X2)
| ~ greater_or_equal(X2,start_time(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X4,X7] :
( ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X7)
| in_environment(X4,X7) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(25,plain,
! [X8,X9] :
( ~ environment(X8)
| ~ subpopulations(first_movers,efficient_producers,X8,X9)
| in_environment(X8,X9) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,negated_conjecture,
? [X4,X7] :
( environment(X4)
& subpopulations(first_movers,efficient_producers,X4,X7)
& ~ greater(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7)) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(28,negated_conjecture,
? [X8,X9] :
( environment(X8)
& subpopulations(first_movers,efficient_producers,X8,X9)
& ~ greater(disbanding_rate(first_movers,X9),disbanding_rate(efficient_producers,X9)) ),
inference(variable_rename,[status(thm)],[27]) ).
fof(29,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& ~ greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)) ),
inference(skolemize,[status(esa)],[28]) ).
cnf(30,negated_conjecture,
~ greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(31,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(32,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[29]) ).
fof(33,plain,
! [X4,X7] :
( ~ environment(X4)
| ( ( ~ in_environment(X4,initial_FM_EP(X4))
| subpopulations(first_movers,efficient_producers,X4,initial_FM_EP(X4)) )
& ( ~ subpopulations(first_movers,efficient_producers,X4,X7)
| greater_or_equal(X7,initial_FM_EP(X4)) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(34,plain,
! [X8,X9] :
( ~ environment(X8)
| ( ( ~ in_environment(X8,initial_FM_EP(X8))
| subpopulations(first_movers,efficient_producers,X8,initial_FM_EP(X8)) )
& ( ~ subpopulations(first_movers,efficient_producers,X8,X9)
| greater_or_equal(X9,initial_FM_EP(X8)) ) ) ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,plain,
! [X8,X9] :
( ( ~ in_environment(X8,initial_FM_EP(X8))
| subpopulations(first_movers,efficient_producers,X8,initial_FM_EP(X8))
| ~ environment(X8) )
& ( ~ subpopulations(first_movers,efficient_producers,X8,X9)
| greater_or_equal(X9,initial_FM_EP(X8))
| ~ environment(X8) ) ),
inference(distribute,[status(thm)],[34]) ).
cnf(36,plain,
( greater_or_equal(X2,initial_FM_EP(X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,plain,
( subpopulations(first_movers,efficient_producers,X1,initial_FM_EP(X1))
| ~ environment(X1)
| ~ in_environment(X1,initial_FM_EP(X1)) ),
inference(split_conjunct,[status(thm)],[35]) ).
fof(38,plain,
! [X4] :
( ~ environment(X4)
| greater_or_equal(initial_FM_EP(X4),start_time(X4)) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(39,plain,
! [X5] :
( ~ environment(X5)
| greater_or_equal(initial_FM_EP(X5),start_time(X5)) ),
inference(variable_rename,[status(thm)],[38]) ).
cnf(40,plain,
( greater_or_equal(initial_FM_EP(X1),start_time(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X1,X2] :
( ~ greater_or_equal(X1,X2)
| greater(X1,X2)
| X1 = X2 ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(42,plain,
! [X3,X4] :
( ~ greater_or_equal(X3,X4)
| greater(X3,X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[41]) ).
cnf(43,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X4,X7,X5,X6] :
( ~ environment(X4)
| ~ greater_or_equal(X7,X5)
| ~ greater_or_equal(X6,X7)
| ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater(disbanding_rate(first_movers,X5),disbanding_rate(efficient_producers,X5))
| decreases(difference(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7)))
| greater(disbanding_rate(first_movers,X6),disbanding_rate(efficient_producers,X6)) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(45,plain,
! [X8,X9,X10,X11] :
( ~ environment(X8)
| ~ greater_or_equal(X9,X10)
| ~ greater_or_equal(X11,X9)
| ~ subpopulations(first_movers,efficient_producers,X8,X11)
| ~ greater(disbanding_rate(first_movers,X10),disbanding_rate(efficient_producers,X10))
| decreases(difference(disbanding_rate(first_movers,X9),disbanding_rate(efficient_producers,X9)))
| greater(disbanding_rate(first_movers,X11),disbanding_rate(efficient_producers,X11)) ),
inference(variable_rename,[status(thm)],[44]) ).
cnf(46,plain,
( greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ subpopulations(first_movers,efficient_producers,X4,X1)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X2,X3)
| ~ environment(X4) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,plain,
! [X4] :
( ~ environment(X4)
| greater(disbanding_rate(first_movers,initial_FM_EP(X4)),disbanding_rate(efficient_producers,initial_FM_EP(X4))) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(48,plain,
! [X5] :
( ~ environment(X5)
| greater(disbanding_rate(first_movers,initial_FM_EP(X5)),disbanding_rate(efficient_producers,initial_FM_EP(X5))) ),
inference(variable_rename,[status(thm)],[47]) ).
cnf(49,plain,
( greater(disbanding_rate(first_movers,initial_FM_EP(X1)),disbanding_rate(efficient_producers,initial_FM_EP(X1)))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(50,plain,
! [X4,X7] :
( ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X7)
| ~ decreases(difference(disbanding_rate(first_movers,X7),disbanding_rate(efficient_producers,X7))) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(51,plain,
! [X8,X9] :
( ~ environment(X8)
| ~ subpopulations(first_movers,efficient_producers,X8,X9)
| ~ decreases(difference(disbanding_rate(first_movers,X9),disbanding_rate(efficient_producers,X9))) ),
inference(variable_rename,[status(thm)],[50]) ).
cnf(52,plain,
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(54,negated_conjecture,
( in_environment(esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[26,31,theory(equality)]) ).
cnf(55,negated_conjecture,
( in_environment(esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[54,32,theory(equality)]) ).
cnf(56,negated_conjecture,
in_environment(esk1_0,esk2_0),
inference(cn,[status(thm)],[55,theory(equality)]) ).
cnf(58,plain,
( in_environment(X1,initial_FM_EP(X1))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(X2,initial_FM_EP(X1)) ),
inference(spm,[status(thm)],[23,40,theory(equality)]) ).
cnf(59,negated_conjecture,
( greater_or_equal(esk2_0,initial_FM_EP(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[36,31,theory(equality)]) ).
cnf(60,negated_conjecture,
( greater_or_equal(esk2_0,initial_FM_EP(esk1_0))
| $false ),
inference(rw,[status(thm)],[59,32,theory(equality)]) ).
cnf(61,negated_conjecture,
greater_or_equal(esk2_0,initial_FM_EP(esk1_0)),
inference(cn,[status(thm)],[60,theory(equality)]) ).
cnf(63,plain,
( greater_or_equal(initial_FM_EP(X1),initial_FM_EP(X1))
| ~ environment(X1)
| ~ in_environment(X1,initial_FM_EP(X1)) ),
inference(spm,[status(thm)],[36,37,theory(equality)]) ).
cnf(68,plain,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ greater_or_equal(X1,initial_FM_EP(X3))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X4,X2)
| ~ environment(X4)
| ~ environment(X3) ),
inference(spm,[status(thm)],[46,49,theory(equality)]) ).
cnf(69,negated_conjecture,
( esk2_0 = initial_FM_EP(esk1_0)
| greater(esk2_0,initial_FM_EP(esk1_0)) ),
inference(spm,[status(thm)],[43,61,theory(equality)]) ).
cnf(76,negated_conjecture,
( in_environment(esk1_0,initial_FM_EP(esk1_0))
| initial_FM_EP(esk1_0) = esk2_0
| ~ in_environment(esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[58,69,theory(equality)]) ).
cnf(78,negated_conjecture,
( in_environment(esk1_0,initial_FM_EP(esk1_0))
| initial_FM_EP(esk1_0) = esk2_0
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[76,56,theory(equality)]) ).
cnf(79,negated_conjecture,
( in_environment(esk1_0,initial_FM_EP(esk1_0))
| initial_FM_EP(esk1_0) = esk2_0
| $false
| $false ),
inference(rw,[status(thm)],[78,32,theory(equality)]) ).
cnf(80,negated_conjecture,
( in_environment(esk1_0,initial_FM_EP(esk1_0))
| initial_FM_EP(esk1_0) = esk2_0 ),
inference(cn,[status(thm)],[79,theory(equality)]) ).
cnf(164,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))
| ~ greater_or_equal(X1,initial_FM_EP(X2))
| ~ greater_or_equal(esk2_0,X1)
| ~ environment(esk1_0)
| ~ environment(X2) ),
inference(spm,[status(thm)],[68,31,theory(equality)]) ).
cnf(169,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))
| ~ greater_or_equal(X1,initial_FM_EP(X2))
| ~ greater_or_equal(esk2_0,X1)
| $false
| ~ environment(X2) ),
inference(rw,[status(thm)],[164,32,theory(equality)]) ).
cnf(170,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))
| ~ greater_or_equal(X1,initial_FM_EP(X2))
| ~ greater_or_equal(esk2_0,X1)
| ~ environment(X2) ),
inference(cn,[status(thm)],[169,theory(equality)]) ).
cnf(171,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ greater_or_equal(X1,initial_FM_EP(X2))
| ~ greater_or_equal(esk2_0,X1)
| ~ environment(X2) ),
inference(sr,[status(thm)],[170,30,theory(equality)]) ).
cnf(179,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,initial_FM_EP(X1)),disbanding_rate(efficient_producers,initial_FM_EP(X1))))
| ~ greater_or_equal(esk2_0,initial_FM_EP(X1))
| ~ environment(X1)
| ~ in_environment(X1,initial_FM_EP(X1)) ),
inference(spm,[status(thm)],[171,63,theory(equality)]) ).
cnf(244,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,X2,initial_FM_EP(X1))
| ~ environment(X2)
| ~ in_environment(X1,initial_FM_EP(X1))
| ~ greater_or_equal(esk2_0,initial_FM_EP(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[52,179,theory(equality)]) ).
cnf(245,negated_conjecture,
( ~ in_environment(X1,initial_FM_EP(X1))
| ~ greater_or_equal(esk2_0,initial_FM_EP(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[244,37,theory(equality)]) ).
cnf(254,negated_conjecture,
( initial_FM_EP(esk1_0) = esk2_0
| ~ greater_or_equal(esk2_0,initial_FM_EP(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[245,80,theory(equality)]) ).
cnf(255,negated_conjecture,
( initial_FM_EP(esk1_0) = esk2_0
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[254,61,theory(equality)]) ).
cnf(256,negated_conjecture,
( initial_FM_EP(esk1_0) = esk2_0
| $false
| $false ),
inference(rw,[status(thm)],[255,32,theory(equality)]) ).
cnf(257,negated_conjecture,
initial_FM_EP(esk1_0) = esk2_0,
inference(cn,[status(thm)],[256,theory(equality)]) ).
cnf(265,negated_conjecture,
( greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[49,257,theory(equality)]) ).
cnf(321,negated_conjecture,
( greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))
| $false ),
inference(rw,[status(thm)],[265,32,theory(equality)]) ).
cnf(322,negated_conjecture,
greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)),
inference(cn,[status(thm)],[321,theory(equality)]) ).
cnf(323,negated_conjecture,
$false,
inference(sr,[status(thm)],[322,30,theory(equality)]) ).
cnf(324,negated_conjecture,
$false,
323,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT020+1.p
% --creating new selector for []
% -running prover on /tmp/tmpR1AziZ/sel_MGT020+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT020+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT020+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT020+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
%
%------------------------------------------------------------------------------