TSTP Solution File: MGT022+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT022+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 21:08:57 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 4
% Syntax : Number of formulae : 44 ( 10 unt; 0 def)
% Number of atoms : 157 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 178 ( 65 ~; 70 |; 29 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) )
& ( constant(resources(X1,X2))
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ) ) ),
file('/tmp/tmpoZTOey/sel_MGT022+1.p_1',prove_l4) ).
fof(2,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/tmp/tmpoZTOey/sel_MGT022+1.p_1',a2) ).
fof(3,axiom,
! [X1,X3,X4,X2] :
( ( environment(X1)
& subpopulations(X3,X4,X1,X2)
& greater(resilience(X4),resilience(X3)) )
=> ( ( decreases(resources(X1,X2))
=> increases(difference(disbanding_rate(X3,X2),disbanding_rate(X4,X2))) )
& ( constant(resources(X1,X2))
=> constant(difference(disbanding_rate(X3,X2),disbanding_rate(X4,X2))) ) ) ),
file('/tmp/tmpoZTOey/sel_MGT022+1.p_1',a5) ).
fof(4,axiom,
! [X5] :
( constant(X5)
=> ~ decreases(X5) ),
file('/tmp/tmpoZTOey/sel_MGT022+1.p_1',mp_constant_not_decrease) ).
fof(5,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) )
& ( constant(resources(X1,X2))
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(6,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) )
& ( constant(resources(X1,X2))
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(7,plain,
! [X5] :
( constant(X5)
=> ~ decreases(X5) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(8,negated_conjecture,
? [X1,X2] :
( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& ( ( decreases(resources(X1,X2))
& ~ increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) )
| ( constant(resources(X1,X2))
& decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(9,negated_conjecture,
? [X3,X4] :
( environment(X3)
& subpopulations(first_movers,efficient_producers,X3,X4)
& ( ( decreases(resources(X3,X4))
& ~ increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
| ( constant(resources(X3,X4))
& decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
inference(variable_rename,[status(thm)],[8]) ).
fof(10,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& ( ( decreases(resources(esk1_0,esk2_0))
& ~ increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) )
| ( constant(resources(esk1_0,esk2_0))
& decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ) ) ),
inference(skolemize,[status(esa)],[9]) ).
fof(11,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& ( constant(resources(esk1_0,esk2_0))
| decreases(resources(esk1_0,esk2_0)) )
& ( decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
| decreases(resources(esk1_0,esk2_0)) )
& ( constant(resources(esk1_0,esk2_0))
| ~ increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) )
& ( decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
| ~ increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ) ),
inference(distribute,[status(thm)],[10]) ).
cnf(13,negated_conjecture,
( constant(resources(esk1_0,esk2_0))
| ~ increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(14,negated_conjecture,
( decreases(resources(esk1_0,esk2_0))
| decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(15,negated_conjecture,
( decreases(resources(esk1_0,esk2_0))
| constant(resources(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(16,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(17,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(18,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(split_conjunct,[status(thm)],[2]) ).
fof(19,plain,
! [X1,X3,X4,X2] :
( ~ environment(X1)
| ~ subpopulations(X3,X4,X1,X2)
| ~ greater(resilience(X4),resilience(X3))
| ( ( ~ decreases(resources(X1,X2))
| increases(difference(disbanding_rate(X3,X2),disbanding_rate(X4,X2))) )
& ( ~ constant(resources(X1,X2))
| constant(difference(disbanding_rate(X3,X2),disbanding_rate(X4,X2))) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(20,plain,
! [X5,X6,X7,X8] :
( ~ environment(X5)
| ~ subpopulations(X6,X7,X5,X8)
| ~ greater(resilience(X7),resilience(X6))
| ( ( ~ decreases(resources(X5,X8))
| increases(difference(disbanding_rate(X6,X8),disbanding_rate(X7,X8))) )
& ( ~ constant(resources(X5,X8))
| constant(difference(disbanding_rate(X6,X8),disbanding_rate(X7,X8))) ) ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,plain,
! [X5,X6,X7,X8] :
( ( ~ decreases(resources(X5,X8))
| increases(difference(disbanding_rate(X6,X8),disbanding_rate(X7,X8)))
| ~ environment(X5)
| ~ subpopulations(X6,X7,X5,X8)
| ~ greater(resilience(X7),resilience(X6)) )
& ( ~ constant(resources(X5,X8))
| constant(difference(disbanding_rate(X6,X8),disbanding_rate(X7,X8)))
| ~ environment(X5)
| ~ subpopulations(X6,X7,X5,X8)
| ~ greater(resilience(X7),resilience(X6)) ) ),
inference(distribute,[status(thm)],[20]) ).
cnf(22,plain,
( constant(difference(disbanding_rate(X2,X4),disbanding_rate(X1,X4)))
| ~ greater(resilience(X1),resilience(X2))
| ~ subpopulations(X2,X1,X3,X4)
| ~ environment(X3)
| ~ constant(resources(X3,X4)) ),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,plain,
( increases(difference(disbanding_rate(X2,X4),disbanding_rate(X1,X4)))
| ~ greater(resilience(X1),resilience(X2))
| ~ subpopulations(X2,X1,X3,X4)
| ~ environment(X3)
| ~ decreases(resources(X3,X4)) ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(24,plain,
! [X5] :
( ~ constant(X5)
| ~ decreases(X5) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(25,plain,
! [X6] :
( ~ constant(X6)
| ~ decreases(X6) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( ~ decreases(X1)
| ~ constant(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(28,negated_conjecture,
( constant(difference(disbanding_rate(X1,esk2_0),disbanding_rate(X2,esk2_0)))
| decreases(resources(esk1_0,esk2_0))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[22,15,theory(equality)]) ).
cnf(29,negated_conjecture,
( constant(difference(disbanding_rate(X1,esk2_0),disbanding_rate(X2,esk2_0)))
| decreases(resources(esk1_0,esk2_0))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[28,17,theory(equality)]) ).
cnf(30,negated_conjecture,
( constant(difference(disbanding_rate(X1,esk2_0),disbanding_rate(X2,esk2_0)))
| decreases(resources(esk1_0,esk2_0))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[29,theory(equality)]) ).
cnf(31,plain,
( constant(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
| decreases(resources(esk1_0,esk2_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[30,18,theory(equality)]) ).
cnf(32,plain,
( constant(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
| decreases(resources(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[31,16,theory(equality)]) ).
cnf(33,plain,
( constant(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
| decreases(resources(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[32,theory(equality)]) ).
cnf(34,plain,
( decreases(resources(esk1_0,esk2_0))
| ~ decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
inference(spm,[status(thm)],[26,33,theory(equality)]) ).
cnf(35,plain,
decreases(resources(esk1_0,esk2_0)),
inference(csr,[status(thm)],[34,14]) ).
cnf(36,plain,
( increases(difference(disbanding_rate(X1,esk2_0),disbanding_rate(X2,esk2_0)))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[23,35,theory(equality)]) ).
cnf(41,plain,
( increases(difference(disbanding_rate(X1,esk2_0),disbanding_rate(X2,esk2_0)))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[36,17,theory(equality)]) ).
cnf(42,plain,
( increases(difference(disbanding_rate(X1,esk2_0),disbanding_rate(X2,esk2_0)))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[41,theory(equality)]) ).
cnf(43,plain,
( constant(resources(esk1_0,esk2_0))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[13,42,theory(equality)]) ).
cnf(45,plain,
( constant(resources(esk1_0,esk2_0))
| $false
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(rw,[status(thm)],[43,18,theory(equality)]) ).
cnf(46,plain,
( constant(resources(esk1_0,esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[45,16,theory(equality)]) ).
cnf(47,plain,
constant(resources(esk1_0,esk2_0)),
inference(cn,[status(thm)],[46,theory(equality)]) ).
cnf(51,plain,
~ decreases(resources(esk1_0,esk2_0)),
inference(spm,[status(thm)],[26,47,theory(equality)]) ).
cnf(54,plain,
$false,
inference(rw,[status(thm)],[51,35,theory(equality)]) ).
cnf(55,plain,
$false,
inference(cn,[status(thm)],[54,theory(equality)]) ).
cnf(56,plain,
$false,
55,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT022+1.p
% --creating new selector for []
% -running prover on /tmp/tmpoZTOey/sel_MGT022+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT022+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT022+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT022+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
%
%------------------------------------------------------------------------------