%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT021+1 : 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 21:04:31 EST 2010
% Result : Theorem 0.22s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 8 unt; 0 def)
% Number of atoms : 182 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 231 ( 100 ~; 85 |; 27 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 42 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,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/tmpzgPHCj/sel_MGT021+1.p_1',a3) ).
fof(2,conjecture,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
file('/tmp/tmpzgPHCj/sel_MGT021+1.p_1',prove_l3) ).
fof(3,axiom,
! [X3] :
( increases(X3)
=> ~ decreases(X3) ),
file('/tmp/tmpzgPHCj/sel_MGT021+1.p_1',mp_increase_not_decrease) ).
fof(4,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> greater(number_of_organizations(X1,X2),zero) ),
file('/tmp/tmpzgPHCj/sel_MGT021+1.p_1',mp_environment_not_empty) ).
fof(5,axiom,
! [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/tmpzgPHCj/sel_MGT021+1.p_1',l4) ).
fof(7,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> in_environment(X1,X2) ),
file('/tmp/tmpzgPHCj/sel_MGT021+1.p_1',mp_time_point_in_environment) ).
fof(8,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(assume_negation,[status(cth)],[2]) ).
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)],[1,theory(equality)]) ).
fof(10,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(11,plain,
! [X3] :
( increases(X3)
=> ~ decreases(X3) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(12,plain,
! [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(13,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(14,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)],[13]) ).
fof(15,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)],[14]) ).
cnf(16,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)],[15]) ).
cnf(17,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)],[15]) ).
fof(18,negated_conjecture,
? [X1,X2] :
( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(19,negated_conjecture,
? [X3,X4] :
( environment(X3)
& subpopulations(first_movers,efficient_producers,X3,X4)
& decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ),
inference(variable_rename,[status(thm)],[18]) ).
fof(20,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
inference(skolemize,[status(esa)],[19]) ).
cnf(21,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(22,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(23,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[20]) ).
fof(24,plain,
! [X3] :
( ~ increases(X3)
| ~ decreases(X3) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(25,plain,
! [X4] :
( ~ increases(X4)
| ~ decreases(X4) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( ~ decreases(X1)
| ~ increases(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| greater(number_of_organizations(X1,X2),zero) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(28,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| greater(number_of_organizations(X3,X4),zero) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [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)],[12]) ).
fof(31,plain,
! [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)],[30]) ).
fof(32,plain,
! [X3,X4] :
( ( ~ decreases(resources(X3,X4))
| increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4)))
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4) )
& ( ~ constant(resources(X3,X4))
| ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4)))
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4) ) ),
inference(distribute,[status(thm)],[31]) ).
cnf(33,plain,
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ constant(resources(X1,X2)) ),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(34,plain,
( increases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| ~ decreases(resources(X1,X2)) ),
inference(split_conjunct,[status(thm)],[32]) ).
fof(38,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| in_environment(X1,X2) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(39,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| in_environment(X3,X4) ),
inference(variable_rename,[status(thm)],[38]) ).
cnf(40,plain,
( in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(41,plain,
( decreases(resources(X1,X2))
| ~ greater(equilibrium(X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(spm,[status(thm)],[17,29,theory(equality)]) ).
cnf(42,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ constant(resources(X1,esk2_0))
| ~ environment(X1) ),
inference(spm,[status(thm)],[33,21,theory(equality)]) ).
cnf(43,plain,
( greater(equilibrium(X1),esk2_0)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,esk2_0),zero)
| ~ in_environment(X1,esk2_0) ),
inference(spm,[status(thm)],[42,16,theory(equality)]) ).
cnf(44,plain,
( greater(equilibrium(X1),esk2_0)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ greater(number_of_organizations(X1,esk2_0),zero)
| ~ environment(X1) ),
inference(csr,[status(thm)],[43,40]) ).
cnf(45,plain,
( greater(equilibrium(X1),esk2_0)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ environment(X1) ),
inference(csr,[status(thm)],[44,29]) ).
cnf(46,plain,
( decreases(resources(X1,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(equilibrium(X1),X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[41,40]) ).
cnf(47,plain,
( decreases(resources(X1,esk2_0))
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[46,45,theory(equality)]) ).
cnf(48,plain,
( increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[34,47,theory(equality)]) ).
cnf(49,negated_conjecture,
( increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[48,22,theory(equality)]) ).
cnf(50,negated_conjecture,
( increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
| $false ),
inference(rw,[status(thm)],[49,23,theory(equality)]) ).
cnf(51,negated_conjecture,
increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))),
inference(cn,[status(thm)],[50,theory(equality)]) ).
cnf(52,negated_conjecture,
~ decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))),
inference(spm,[status(thm)],[26,51,theory(equality)]) ).
cnf(54,negated_conjecture,
$false,
inference(rw,[status(thm)],[52,21,theory(equality)]) ).
cnf(55,negated_conjecture,
$false,
inference(cn,[status(thm)],[54,theory(equality)]) ).
cnf(56,negated_conjecture,
$false,
55,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT021+1.p
% --creating new selector for []
% -running prover on /tmp/tmpzgPHCj/sel_MGT021+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT021+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT021+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT021+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
%
%------------------------------------------------------------------------------